Pith Number

pith:F4MT4FGX

pith:2011:F4MT4FGXSH7XKEODKB7HQT3A2Q

not attested not anchored not stored refs pending

Macdonald processes

Alexei Borodin, Ivan Corwin

arxiv:1111.4408 v4 · 2011-11-18 · math.PR · cond-mat.stat-mech · math-ph · math.CO · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4MT4FGXSH7XKEODKB7HQT3A2Q}

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.

Cited by

1 paper in Pith

Classical correlation functions at strong coupling from hexagonalization

Receipt and verification

First computed	2026-05-18T02:21:28.772708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f193e14d791ff7511c3507e784f60d43fb93e995ccb70c9a0df1ff1f91097d6

Aliases

arxiv: 1111.4408 · arxiv_version: 1111.4408v4 · doi: 10.48550/arxiv.1111.4408 · pith_short_12: F4MT4FGXSH7X · pith_short_16: F4MT4FGXSH7XKEOD · pith_short_8: F4MT4FGX

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/F4MT4FGXSH7XKEODKB7HQT3A2Q \
  | 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: 2f193e14d791ff7511c3507e784f60d43fb93e995ccb70c9a0df1ff1f91097d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3932a1e2bea4261d9873dad32d73c889191428027f784025870c0da5bfcaaf2b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-18T16:15:52Z",
    "title_canon_sha256": "af9a05c9833825d43ce3540aff86a74d8caceee04088320222ac05b5cd9e1d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4408",
    "kind": "arxiv",
    "version": 4
  }
}