Pith Number

pith:6RW77CQI

pith:2014:6RW77CQI7VJHU6ZIQ6X5VFTVD4

not attested not anchored not stored refs pending

From the Ising and Potts models to the general graph homomorphism polynomial

Klas Markstr\"om

arxiv:1401.6335 v2 · 2014-01-24 · math.CO · cond-mat.stat-mech · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RW77CQI7VJHU6ZIQ6X5VFTVD4}

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	2026-05-18T01:26:32.027044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46dff8a08fd527a7b2887afda96751f10d7bb5e7410bcd77027da105ecb6b27

Aliases

arxiv: 1401.6335 · arxiv_version: 1401.6335v2 · doi: 10.48550/arxiv.1401.6335 · pith_short_12: 6RW77CQI7VJH · pith_short_16: 6RW77CQI7VJHU6ZI · pith_short_8: 6RW77CQI

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/6RW77CQI7VJHU6ZIQ6X5VFTVD4 \
  | 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: f46dff8a08fd527a7b2887afda96751f10d7bb5e7410bcd77027da105ecb6b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c634085903787d2faa7211cf320c38fe1d97317e44aa44b45ba7ac12d88e85",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-24T13:18:36Z",
    "title_canon_sha256": "3bce295943b955b6c1a344753d8705202fce53dcdf1981c9cd91720933cb3eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6335",
    "kind": "arxiv",
    "version": 2
  }
}