Pith Number

pith:JV2MZSR5

pith:2011:JV2MZSR5CBOALAIWAL2744YBVU

not attested not anchored not stored refs pending

An inequality involving the gamma and digamma functions

Bai-Ni Guo, Feng Qi

arxiv:1101.4698 v1 · 2011-01-25 · 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{JV2MZSR5CBOALAIWAL2744YBVU}

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	2026-05-18T01:11:44.086620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d74ccca3d105c05811602f5fe7301ad0dcff4c48382c3e24fa690f620ecb4a6

Aliases

arxiv: 1101.4698 · arxiv_version: 1101.4698v1 · doi: 10.48550/arxiv.1101.4698 · pith_short_12: JV2MZSR5CBOA · pith_short_16: JV2MZSR5CBOALAIW · pith_short_8: JV2MZSR5

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/JV2MZSR5CBOALAIWAL2744YBVU \
  | 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: 4d74ccca3d105c05811602f5fe7301ad0dcff4c48382c3e24fa690f620ecb4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873f34df04783d0ba0cb2aace65576091435b3dcc267a2f68c5f7e7c60b29558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-25T01:20:42Z",
    "title_canon_sha256": "b6d9164b913dd6e8ecaf4fe9cd01724c9e9a55b6b6efc80f59915231079c0260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4698",
    "kind": "arxiv",
    "version": 1
  }
}