Pith Number record

pith:577NU6W2

pith:2017:577NU6W2IA2Y7MORXYQ7NR7SYD

Protocol content-addressed Pith receipt schema 1.0

Author: not author-attested
Timestamp: not externally anchored
Storage: storage not verified
References: references not resolved

Some jump and variational inequalities for the Calder\'on commutators and related operators

Guixiang Hong, Jie Xiao, Yanping Chen, Yong Ding

Source: arxiv:1709.03127 v1 · Submitted 2017-09-10 · License http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Categories: math.CA

Open Pith paper page Download JSON What is a Pith Number?

Record completeness checklist

Each row is a typed event attached to this Pith Number. Done rows show their third-party proof. Open rows have an inline form so you can complete them without leaving this page.

1 Anchor canonical hash to Bitcoin via OpenTimestamps open

Stamps the canonical SHA-256 (effeda7ada40358fb1d1be21...) across three calendars. Confirms instantly. Calendars upgrade to a Bitcoin-block proof in a few hours.

2 Mirror to Internet Archive (Wayback Machine) open

Submits the paper URL to the Internet Archive and records the resulting Wayback capture URL plus timestamp. Pith does not host the paper.

3 Claim authorship open

Identity-backed. The same flow as the paper page. Sign in with ORCID, Apple, X, or email magic-link; if your ORCID is on the arXiv author list the attestation is one-click and shows ORCID verified.

4 Sign a citation pointing at this record open

Records a signed citation. Pick a relationship (supports, refutes, extends, uses_method, depends_on, replaces, compares, cites). Pith signs the assertion server-side.

Relationship

Citing URL (e.g. arxiv.org/abs/...)

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5 Submit replication, falsification, or formal bridge open

Public record of a replication attempt, formal bridge (Lean / Coq), or falsification. Held for moderation. Not peer review; a typed annotation.

Result class

Evidence URL (http(s))

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Target claim ID (e.g. C1) Methodology (public, max 1500 chars) Summary (public, max 1500 chars)

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Held for moderation before it appears as confirmed.

Claims

Receipt

First computed	2026-05-18T00:35:39.272094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`, fingerprint `8d4b5ee74e4693bc…`) · public key
Signature value	`rtZxmDgR7pYykS03RHTYqA2WshjwApnGtbMVhoSH/+W/kJgK14Ji5+VW/EJUIvwi8ts5n1B9M0q8OYXQAy/QCw==`
Schema	pith-number/v1.0

Canonical hash

effeda7ada40358fb1d1be21f6c7f2c0fe783193d16d2cd9825dcb90ff10ff90

Aliases

Kind	Value
arxiv	`1709.03127`
arxiv_version	`1709.03127v1`
doi	`10.48550/arxiv.1709.03127`

Agent API

Same address serves humans and agents. Add an Accept header to get the JSON-LD payload at the resolver URL itself.

Resolver JSON Graph JSON Events JSON Schema Signing key Resolve alias

Verify this Pith Number yourself

Three shell lines recompute the canonical hash. If the hash you compute matches the one shown above, the record is intact end-to-end.

curl -sH 'Accept: application/ld+json' https://pith.science/pith/577NU6W2IA2Y7MORXYQ7NR7SYD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: effeda7ada40358fb1d1be21f6c7f2c0fe783193d16d2cd9825dcb90ff10ff90

Verify the Pith Ed25519 signature against the published public key:

curl -s https://pith.science/pith-signing-key.json | jq -r .public_key_b64 \
  | base64 -d > /tmp/pith_pub.bin
python3 -c "
from cryptography.hazmat.primitives.asymmetric.ed25519 import Ed25519PublicKey
import base64
pub = Ed25519PublicKey.from_public_bytes(open('/tmp/pith_pub.bin','rb').read())
sig = base64.b64decode('rtZxmDgR7pYykS03RHTYqA2WshjwApnGtbMVhoSH/+W/kJgK14Ji5+VW/EJUIvwi8ts5n1B9M0q8OYXQAy/QCw==')
digest = bytes.fromhex('effeda7ada40358fb1d1be21f6c7f2c0fe783193d16d2cd9825dcb90ff10ff90')
pub.verify(sig, digest)
print('signature OK')"

Show canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1fbc81a43d8cb92e58d655135ad901dc308aceaccc4c95554801f8fcff3ee4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-10T16:34:27Z",
    "title_canon_sha256": "0de31e9f75eca62d946edeb2e90c448b32767ec3d27aefcfdbc6b4738e359666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03127",
    "kind": "arxiv",
    "version": 1
  }
}