Pith Number

pith:YYO7XGI7

pith:2010:YYO7XGI7PEPFK6YKCN7E7H2VPL

not attested not anchored not stored refs pending

The Evaluation of a Quartic Integral via Schwinger, Schur and Bessel

And Christophe Vignat, Tewodros Amdeberhan, Victor H. Moll

arxiv:1009.2399 v1 · 2010-09-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYO7XGI7PEPFK6YKCN7E7H2VPL}

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	2026-05-18T04:41:04.267532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61dfb991f791e557b0a137e4f9f557ae2d330b0c17a9a16c43e4bdc86b00f67

Aliases

arxiv: 1009.2399 · arxiv_version: 1009.2399v1 · doi: 10.48550/arxiv.1009.2399 · pith_short_12: YYO7XGI7PEPF · pith_short_16: YYO7XGI7PEPFK6YK · pith_short_8: YYO7XGI7

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/YYO7XGI7PEPFK6YKCN7E7H2VPL \
  | 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: c61dfb991f791e557b0a137e4f9f557ae2d330b0c17a9a16c43e4bdc86b00f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b40d16f92726fb17ed58936bab1a0e7f688f7335d8712246ed780ca30c0a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-13T14:02:03Z",
    "title_canon_sha256": "086347e5235d84c45d117a0a57c670e9e15807b9d906b66342418b8ae6ec8e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2399",
    "kind": "arxiv",
    "version": 1
  }
}