Pith Number

pith:GU4AV6NH

pith:2011:GU4AV6NHRPVEUWPA2J3CRT325E

not attested not anchored not stored refs pending

Definite integrals and operational methods

D. Babusci, G. Dattoli, G. H. E. Duchamp, K. A. Penson, K. G\'orska

arxiv:1105.5967 v3 · 2011-05-30 · math.CA · 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{GU4AV6NHRPVEUWPA2J3CRT325E}

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	2026-05-18T03:41:29.671830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35380af9a78bea4a59e0d27628cf7ae9141b91883aa973c8eed89fd57541af05

Aliases

arxiv: 1105.5967 · arxiv_version: 1105.5967v3 · doi: 10.48550/arxiv.1105.5967 · pith_short_12: GU4AV6NHRPVE · pith_short_16: GU4AV6NHRPVEUWPA · pith_short_8: GU4AV6NH

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/GU4AV6NHRPVEUWPA2J3CRT325E \
  | 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: 35380af9a78bea4a59e0d27628cf7ae9141b91883aa973c8eed89fd57541af05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3124c72ac47881484adc5a900911b196bedf29d9b350f9d9ddf338cc3478d176",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-30T12:44:18Z",
    "title_canon_sha256": "5161505794d4441aca6d6090dc7a82cf20dc4da2f79be981584f1f314d8c7022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5967",
    "kind": "arxiv",
    "version": 3
  }
}