Pith Number

pith:4Q4I2ORM

pith:2016:4Q4I2ORM6GGSCCFQGBC76F32YD

not attested not anchored not stored refs pending

The aggregate path coupling method for the Potts model on bipartite graph

Jose C. Hernandez, Peter T. Otto, Yevgeniy Kovchegov

arxiv:1607.02662 v2 · 2016-07-09 · math.PR · 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{4Q4I2ORM6GGSCCFQGBC76F32YD}

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	2026-05-18T00:47:13.988153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4388d3a2cf18d2108b03045ff177ac0e174dc166f9ed79ff4d80c8f42b88395

Aliases

arxiv: 1607.02662 · arxiv_version: 1607.02662v2 · doi: 10.48550/arxiv.1607.02662 · pith_short_12: 4Q4I2ORM6GGS · pith_short_16: 4Q4I2ORM6GGSCCFQ · pith_short_8: 4Q4I2ORM

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/4Q4I2ORM6GGSCCFQGBC76F32YD \
  | 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: e4388d3a2cf18d2108b03045ff177ac0e174dc166f9ed79ff4d80c8f42b88395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a9427561d87dabe027ceed5dba31af814d65c3d988bbefaba2157995bf17b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-09T20:36:29Z",
    "title_canon_sha256": "1be1c45d88271999c061d0cf480fd28dab137940750096e9f58b7c0fe95cb166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02662",
    "kind": "arxiv",
    "version": 2
  }
}