Pith Number

pith:TVVNGS53

pith:2018:TVVNGS53EXZY5JOIBAVOODAZXV

not attested not anchored not stored refs pending

Entropy of hard square lattice gas with $k$ distinct species of particles: coloring problems and vertex models

Sahil Kumar Singh, Sudhir R. Jain

arxiv:1806.06751 v3 · 2018-06-18 · 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{TVVNGS53EXZY5JOIBAVOODAZXV}

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	2026-05-17T23:58:24.936962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6ad34bbb25f38ea5c8082ae70c19bd6ee735609aa5e59b168f85dde720dd01

Aliases

arxiv: 1806.06751 · arxiv_version: 1806.06751v3 · doi: 10.48550/arxiv.1806.06751 · pith_short_12: TVVNGS53EXZY · pith_short_16: TVVNGS53EXZY5JOI · pith_short_8: TVVNGS53

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/TVVNGS53EXZY5JOIBAVOODAZXV \
  | 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: 9d6ad34bbb25f38ea5c8082ae70c19bd6ee735609aa5e59b168f85dde720dd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d944856b52b162951621149d2d03fa84f3ebe675606af8e285a8298d0190a469",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-18T15:03:45Z",
    "title_canon_sha256": "8d0f334725c06ca0a9bc16a2a67ace514b3a8ae02ad860626b01192758e205fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06751",
    "kind": "arxiv",
    "version": 3
  }
}