Pith Number

pith:QF2B5KJH

pith:2012:QF2B5KJHBJWWHNCXKZLKDYKNXB

not attested not anchored not stored refs pending

Ising n-fold integrals as diagonals of rational functions and integrality of series expansions

A. Bostan, G. Christol, J.-M. Maillard, S. Boukraa, S. Hassani

arxiv:1211.6645 v2 · 2012-11-28 · math-ph · 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{QF2B5KJHBJWWHNCXKZLKDYKNXB}

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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	2026-05-18T01:52:53.834760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd

Aliases

arxiv: 1211.6645 · arxiv_version: 1211.6645v2 · doi: 10.48550/arxiv.1211.6645 · pith_short_12: QF2B5KJHBJWW · pith_short_16: QF2B5KJHBJWWHNCX · pith_short_8: QF2B5KJH

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/QF2B5KJHBJWWHNCXKZLKDYKNXB \
  | 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: 81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d5680a5c164ef42c25cf6c1ce0c09ce7ce27fb37f4ddf64e4bf6eb234d098a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-28T16:19:51Z",
    "title_canon_sha256": "20fdf349ced3ed490c7d96a28a6374300422a5795e12abb6fa9b1e68f19dd5fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6645",
    "kind": "arxiv",
    "version": 2
  }
}