Pith Number

pith:YD2U7TDM

pith:2017:YD2U7TDMVB47BQCIHEJKA2E3KY

not attested not anchored not stored refs pending

On Some properties of dyadic operators

Heng Gu, Kozo Yabuta, Qingying Xue

arxiv:1703.08129 v1 · 2017-03-23 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YD2U7TDMVB47BQCIHEJKA2E3KY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:48:03.791421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f54fcc6ca879f0c0483912a0689b56069d674645585088d9c403b670283ef9

Aliases

arxiv: 1703.08129 · arxiv_version: 1703.08129v1 · doi: 10.48550/arxiv.1703.08129 · pith_short_12: YD2U7TDMVB47 · pith_short_16: YD2U7TDMVB47BQCI · pith_short_8: YD2U7TDM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YD2U7TDMVB47BQCIHEJKA2E3KY \
  | 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: c0f54fcc6ca879f0c0483912a0689b56069d674645585088d9c403b670283ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "003d86262bd0e93dca1e21851736caa768216fb3bbe6ce5379c5f37f606e1181",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-23T16:17:37Z",
    "title_canon_sha256": "4a6eaf7bff9f2c143e964558ee086dbc97cd6d13b76a9cd1d425f969b0e34dd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08129",
    "kind": "arxiv",
    "version": 1
  }
}