Pith Number

pith:TVLBLQH5

pith:2015:TVLBLQH5NJ6FLE6U36F4C7OSML

not attested not anchored not stored refs pending

An irreversible local Markov chain that preserves the six vertex model on a torus

Alexei Borodin, Alexey Bufetov

arxiv:1509.05070 v1 · 2015-09-16 · math-ph · 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{TVLBLQH5NJ6FLE6U36F4C7OSML}

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	2026-05-18T01:32:49.985450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5615c0fd6a7c5593d4df8bc17dd262f4f2b0f3b723b4f2a8a9fc7b9be55275

Aliases

arxiv: 1509.05070 · arxiv_version: 1509.05070v1 · doi: 10.48550/arxiv.1509.05070 · pith_short_12: TVLBLQH5NJ6F · pith_short_16: TVLBLQH5NJ6FLE6U · pith_short_8: TVLBLQH5

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/TVLBLQH5NJ6FLE6U36F4C7OSML \
  | 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: 9d5615c0fd6a7c5593d4df8bc17dd262f4f2b0f3b723b4f2a8a9fc7b9be55275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106c24bbb43c20a1a4d93d93cf92b233285e7a3ecb6281f1c7ae932265eff622",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-16T21:50:27Z",
    "title_canon_sha256": "0b36e03377f74f3950ea5daaa337528c7213543296e429bd44b2428b8c145041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05070",
    "kind": "arxiv",
    "version": 1
  }
}