Pith Number

pith:V5VRZO23

pith:2011:V5VRZO23O3DA3WBNVZHLWBVCBY

not attested not anchored not stored refs pending

Hypergeometric functions as generalized Stieltjes transforms

Dmitry Karp, Elena Prilepkina

arxiv:1112.5769 v1 · 2011-12-25 · 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{V5VRZO23O3DA3WBNVZHLWBVCBY}

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	2026-05-18T04:05:37.630262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6b1cbb5b76c60dd82dae4ebb06a20e2f5fa9d504e2871895eaeb2f08581727

Aliases

arxiv: 1112.5769 · arxiv_version: 1112.5769v1 · doi: 10.48550/arxiv.1112.5769 · pith_short_12: V5VRZO23O3DA · pith_short_16: V5VRZO23O3DA3WBN · pith_short_8: V5VRZO23

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/V5VRZO23O3DA3WBNVZHLWBVCBY \
  | 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: af6b1cbb5b76c60dd82dae4ebb06a20e2f5fa9d504e2871895eaeb2f08581727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eae92ed4b9bdccc213dc1b4ea278a502f147106ec5b32f2b0da5ecb91bc2c57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-25T06:37:33Z",
    "title_canon_sha256": "7778637b5f2790f337a2fd547f851e166c99e0cdba432762858c50ca95a88f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5769",
    "kind": "arxiv",
    "version": 1
  }
}