Pith Number

pith:6D5ETMIW

pith:2014:6D5ETMIWT2NL4SXBZ2LUR26BB3

not attested not anchored not stored refs pending

Bijective combinatorial proof of the commutation of transfer matrices in the dense O(1) loop model

Dan Romik, Ron Peled

arxiv:1407.5357 v1 · 2014-07-21 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6D5ETMIWT2NL4SXBZ2LUR26BB3}

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	2026-05-18T00:48:55.253281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0fa49b1169e9abe4ae1ce9748ebc10ef6aa225cd5be7686b41e01fcda64ce44

Aliases

arxiv: 1407.5357 · arxiv_version: 1407.5357v1 · doi: 10.48550/arxiv.1407.5357 · pith_short_12: 6D5ETMIWT2NL · pith_short_16: 6D5ETMIWT2NL4SXB · pith_short_8: 6D5ETMIW

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/6D5ETMIWT2NL4SXBZ2LUR26BB3 \
  | 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: f0fa49b1169e9abe4ae1ce9748ebc10ef6aa225cd5be7686b41e01fcda64ce44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e127a8974b8523207596f168c2eb5f2f221078015fb435875bea97badd8edd",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-21T01:04:01Z",
    "title_canon_sha256": "7e34936ce93c124dcd576640576d4bbf53183e55c7cda4ca31eb8518d5f4105e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5357",
    "kind": "arxiv",
    "version": 1
  }
}