Pith Number

pith:NBJRLI66

pith:2014:NBJRLI66UR6XB6PFYSV2TI3IXE

not attested not anchored not stored refs pending

A type of multiple integral with loggamma function

Duokui Yan, Geng-zhe Chang, Rongchang Liu

arxiv:1404.5143 v1 · 2014-04-21 · 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{NBJRLI66UR6XB6PFYSV2TI3IXE}

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	2026-05-18T02:53:42.645226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685315a3dea47d70f9e5c4aba9a368b92e0c6cde017073c2e79e2a68f1c5fa9c

Aliases

arxiv: 1404.5143 · arxiv_version: 1404.5143v1 · doi: 10.48550/arxiv.1404.5143 · pith_short_12: NBJRLI66UR6X · pith_short_16: NBJRLI66UR6XB6PF · pith_short_8: NBJRLI66

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/NBJRLI66UR6XB6PFYSV2TI3IXE \
  | 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: 685315a3dea47d70f9e5c4aba9a368b92e0c6cde017073c2e79e2a68f1c5fa9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf0b9a7d4c9af5e657e97d778e67cd5142e809d838432cedd6927178960375d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-21T08:43:45Z",
    "title_canon_sha256": "d3d7c007ca9a64f1c72cb64fc85985df4ac0335dc92600350a792fb97fda5323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5143",
    "kind": "arxiv",
    "version": 1
  }
}