Pith Number

pith:3FKQDB6N

pith:2014:3FKQDB6NG2BD5MZ4OLJYVNCNSH

not attested not anchored not stored refs pending

On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model

Craig A. Tracy, Harold Widom

arxiv:1403.3966 v1 · 2014-03-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FKQDB6NG2BD5MZ4OLJYVNCNSH}

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	2026-05-18T02:45:48.477138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9550187cd36823eb33c72d38ab44d91fa2fb3756946c032271f641b8b599300

Aliases

arxiv: 1403.3966 · arxiv_version: 1403.3966v1 · doi: 10.48550/arxiv.1403.3966 · pith_short_12: 3FKQDB6NG2BD · pith_short_16: 3FKQDB6NG2BD5MZ4 · pith_short_8: 3FKQDB6N

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/3FKQDB6NG2BD5MZ4OLJYVNCNSH \
  | 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: d9550187cd36823eb33c72d38ab44d91fa2fb3756946c032271f641b8b599300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eabb1533b2274640ece3ef552b5226f1b29da7e6cb1a33b194f6c95114d1b5f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-16T22:05:24Z",
    "title_canon_sha256": "28887115a14e44d8ad66edce965283ae6c22c89cc1123ba770ba445bc462ad67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3966",
    "kind": "arxiv",
    "version": 1
  }
}