Pith Number

pith:NJYGN3LL

pith:2013:NJYGN3LLDCNS7PCNFULDHTJY2K

not attested not anchored not stored refs pending

On the diagonal susceptibility of the 2D Ising model

Craig A. Tracy, Harold Widom

arxiv:1307.5913 v3 · 2013-07-23 · 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{NJYGN3LLDCNS7PCNFULDHTJY2K}

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	2026-05-18T03:05:08.506372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7066ed6b189b2fbc4d2d1633cd38d2b9be1749a0d45e7217eb4e1c0efd9762

Aliases

arxiv: 1307.5913 · arxiv_version: 1307.5913v3 · doi: 10.48550/arxiv.1307.5913 · pith_short_12: NJYGN3LLDCNS · pith_short_16: NJYGN3LLDCNS7PCN · pith_short_8: NJYGN3LL

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/NJYGN3LLDCNS7PCNFULDHTJY2K \
  | 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: 6a7066ed6b189b2fbc4d2d1633cd38d2b9be1749a0d45e7217eb4e1c0efd9762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7e9de466b08cbb9f0d6197873ca7dd9d818d0404ae5413858fb9721a3b02cab",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-23T00:35:28Z",
    "title_canon_sha256": "d0e8e1d4a37160a3778dd27af10bef5d1398b0c21f5c7afddbe4cdc4d6b06503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5913",
    "kind": "arxiv",
    "version": 3
  }
}