Pith Number

pith:Q2MXW773

pith:2009:Q2MXW7736OU57NIOMVIJXM7YSB

not attested not anchored not stored refs pending

Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies

B. Eynard, G. Borot

arxiv:0910.5896 v2 · 2009-10-30 · math-ph · hep-th · 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{Q2MXW7736OU57NIOMVIJXM7YSB}

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	2026-05-18T02:11:01.332192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86997b7ffbf3a9dfb50e65509bb3f8907de25259ce5e31c591dd431787ef02de

Aliases

arxiv: 0910.5896 · arxiv_version: 0910.5896v2 · doi: 10.48550/arxiv.0910.5896 · pith_short_12: Q2MXW7736OU5 · pith_short_16: Q2MXW7736OU57NIO · pith_short_8: Q2MXW773

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/Q2MXW7736OU57NIOMVIJXM7YSB \
  | 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: 86997b7ffbf3a9dfb50e65509bb3f8907de25259ce5e31c591dd431787ef02de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a34711fc4e63b44dce22b7b804936341f32e0d3828bd10bbe49ae923e6ea2b4",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-30T15:45:39Z",
    "title_canon_sha256": "03a3b4b5e60cd821e7392a8d6131629934dcbfabbd9e16f725cd3c8acc2b3eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5896",
    "kind": "arxiv",
    "version": 2
  }
}