Pith Number

pith:DNP2KYGZ

pith:1995:DNP2KYGZ6QZIGJFE3OWXESSN6C

not attested not anchored not stored refs pending

Complex-Temperature Singularities of Ising Models

Robert Shrock

arxiv:hep-lat/9509054 v1 · 1995-09-15 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNP2KYGZ6QZIGJFE3OWXESSN6C}

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	2026-07-04T15:58:55.963106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5fa560d9f4328324a4dbad724a4df08d0d4e5e5ded67645c6aea9b0e6fd950

Aliases

arxiv: hep-lat/9509054 · arxiv_version: hep-lat/9509054v1 · doi: 10.48550/arxiv.hep-lat/9509054 · pith_short_12: DNP2KYGZ6QZI · pith_short_16: DNP2KYGZ6QZIGJFE · pith_short_8: DNP2KYGZ

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/DNP2KYGZ6QZIGJFE3OWXESSN6C \
  | 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: 1b5fa560d9f4328324a4dbad724a4df08d0d4e5e5ded67645c6aea9b0e6fd950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5f2677fe558261a5e1eed0bf6b2da48f2ee7b34329a25fff1d60d52607bc81",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1995-09-15T20:05:37Z",
    "title_canon_sha256": "ec33eda6348d6196f399467f4ab84083a9b37e1bde17b271dab1a9a07e8e19bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9509054",
    "kind": "arxiv",
    "version": 1
  }
}