Pith Number

pith:YPVE7Z7O

pith:2012:YPVE7Z7OZ7ZJFRGO54D27TK2DR

not attested not anchored not stored refs pending

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

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

arxiv:1211.6031 v1 · 2012-11-26 · 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{YPVE7Z7OZ7ZJFRGO54D27TK2DR}

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	2026-05-18T03:39:53.606044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ea4fe7eecff292c4ceef07afcd5a1c7c69afce7d3713b704ef39d886edb827

Aliases

arxiv: 1211.6031 · arxiv_version: 1211.6031v1 · doi: 10.48550/arxiv.1211.6031 · pith_short_12: YPVE7Z7OZ7ZJ · pith_short_16: YPVE7Z7OZ7ZJFRGO · pith_short_8: YPVE7Z7O

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/YPVE7Z7OZ7ZJFRGO54D27TK2DR \
  | 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: c3ea4fe7eecff292c4ceef07afcd5a1c7c69afce7d3713b704ef39d886edb827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf5a4f9d11c9fdb4633c778ff253a48ed9bfb945ed4ccb36f03bd838d88fdb8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-26T17:37:29Z",
    "title_canon_sha256": "1c5019e8877c9dd32200d6632fd79554862e23e3b32fa12488336cff8795de1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6031",
    "kind": "arxiv",
    "version": 1
  }
}