Pith Number

pith:VHPOQ74K

pith:2014:VHPOQ74KJZCD5GDCDFKWYBRNMO

not attested not anchored not stored refs pending

Potts models with magnetic field: arithmetic, geometry, and computation

Matilde Marcolli, Shival Dasu

arxiv:1412.7925 v2 · 2014-12-26 · 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{VHPOQ74KJZCD5GDCDFKWYBRNMO}

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	2026-05-18T01:25:02.281994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9dee87f8a4e443e986219556c062d638715e9f99aae2adbbf81466a36fd8c0d

Aliases

arxiv: 1412.7925 · arxiv_version: 1412.7925v2 · doi: 10.48550/arxiv.1412.7925 · pith_short_12: VHPOQ74KJZCD · pith_short_16: VHPOQ74KJZCD5GDC · pith_short_8: VHPOQ74K

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/VHPOQ74KJZCD5GDCDFKWYBRNMO \
  | 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: a9dee87f8a4e443e986219556c062d638715e9f99aae2adbbf81466a36fd8c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49e9218e6020689fe058384c645176b36a7aa4ffdacab233a2918372a71c34b4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-26T10:36:02Z",
    "title_canon_sha256": "6da0b5947dbd7aeffc8967eb2e6a05ad451e9c4df55a6b436a341eb8c2ae4696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7925",
    "kind": "arxiv",
    "version": 2
  }
}