Pith Number

pith:VNW3MSUK

pith:2012:VNW3MSUKEXEZA52Y7FLEHFO3SI

not attested not anchored not stored refs pending

Loop models on random maps via nested loops: case of domain symmetry breaking and application to the Potts model

E.Guitter, G. Borot, J. Bouttier

arxiv:1207.4878 v1 · 2012-07-20 · math-ph · math.CO · 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{VNW3MSUKEXEZA52Y7FLEHFO3SI}

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	2026-05-18T01:56:15.883626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6db64a8a25c9907758f9564395db92223014b50dc6e3ee7f830f5598b019bd

Aliases

arxiv: 1207.4878 · arxiv_version: 1207.4878v1 · doi: 10.48550/arxiv.1207.4878 · pith_short_12: VNW3MSUKEXEZ · pith_short_16: VNW3MSUKEXEZA52Y · pith_short_8: VNW3MSUK

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/VNW3MSUKEXEZA52Y7FLEHFO3SI \
  | 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: ab6db64a8a25c9907758f9564395db92223014b50dc6e3ee7f830f5598b019bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f68dad8d93c561b08fbe447c43d3200fd7bc0473eea0a750b0b663a55f762ba",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-20T08:40:07Z",
    "title_canon_sha256": "cabbabcd26a024bf09ab1a39c26ef08b7c39eee657414ecfa216fd84e4b80d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4878",
    "kind": "arxiv",
    "version": 1
  }
}