Pith Number

pith:XBM2XBCI

pith:2016:XBM2XBCIPMT4ZOW3TYJQZHDJDH

not attested not anchored not stored refs pending

$L_p$-Theory of Type $1,1$-Operators

Jon Johnsen

arxiv:1609.07945 v1 · 2016-09-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBM2XBCIPMT4ZOW3TYJQZHDJDH}

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	2026-05-18T01:03:54.895263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b859ab84487b27ccbadb9e130c9c6919f688b66487dd480f167ca5e364ef3a4e

Aliases

arxiv: 1609.07945 · arxiv_version: 1609.07945v1 · doi: 10.48550/arxiv.1609.07945 · pith_short_12: XBM2XBCIPMT4 · pith_short_16: XBM2XBCIPMT4ZOW3 · pith_short_8: XBM2XBCI

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/XBM2XBCIPMT4ZOW3TYJQZHDJDH \
  | 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: b859ab84487b27ccbadb9e130c9c6919f688b66487dd480f167ca5e364ef3a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ab1872ce60353f8040ca73b00e99fec060a5d063005ef224222a63ada37ba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-26T12:35:26Z",
    "title_canon_sha256": "55cca2465e5212429a1148c415b68d0ac95fec3eb2f855e29225130a86d04166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07945",
    "kind": "arxiv",
    "version": 1
  }
}