Pith Number

pith:CPFWZJYT

pith:2016:CPFWZJYTAQRH5VB66WUKPDQ7YT

not attested not anchored not stored refs pending

Computation of the incomplete gamma function for negative values of the argument

A. Gil, D. Ruiz-Antol\'in, J. Segura, N. M. Temme

arxiv:1608.04152 v1 · 2016-08-14 · cs.MS · 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{CPFWZJYTAQRH5VB66WUKPDQ7YT}

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	2026-05-18T01:09:04.170045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13cb6ca71304227ed43ef5a8a78e1fc4fb98cace2d1b01f97475f8671a6796e5

Aliases

arxiv: 1608.04152 · arxiv_version: 1608.04152v1 · doi: 10.48550/arxiv.1608.04152 · pith_short_12: CPFWZJYTAQRH · pith_short_16: CPFWZJYTAQRH5VB6 · pith_short_8: CPFWZJYT

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/CPFWZJYTAQRH5VB66WUKPDQ7YT \
  | 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: 13cb6ca71304227ed43ef5a8a78e1fc4fb98cace2d1b01f97475f8671a6796e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddaf8413d8f45f7cc7d1b87fdf7efb8272dc07a1049cbb5a94d136c2fc0a70c1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2016-08-14T23:17:03Z",
    "title_canon_sha256": "a22ea062a5838e835659357424808f06282c7396f3918eff73957a6a932e82c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04152",
    "kind": "arxiv",
    "version": 1
  }
}