Pith Number

pith:4PVH4JGN

pith:2016:4PVH4JGN4A5ZLKTQJLETOQ7FXC

not attested not anchored not stored refs pending

Pick Functions Related to the Multiple Gamma Functions of order $n$

A. Swaminathan, Sourav Das

arxiv:1601.03167 v1 · 2016-01-13 · 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{4PVH4JGN4A5ZLKTQJLETOQ7FXC}

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	2026-05-18T01:22:55.213514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ea7e24cde03b95aa704ac93743e5b8b4b9b5f73af8c1433ec110632c9ecfcf

Aliases

arxiv: 1601.03167 · arxiv_version: 1601.03167v1 · doi: 10.48550/arxiv.1601.03167 · pith_short_12: 4PVH4JGN4A5Z · pith_short_16: 4PVH4JGN4A5ZLKTQ · pith_short_8: 4PVH4JGN

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/4PVH4JGN4A5ZLKTQJLETOQ7FXC \
  | 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: e3ea7e24cde03b95aa704ac93743e5b8b4b9b5f73af8c1433ec110632c9ecfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c7c540a76c704ac7b30f9963b1e85392981109c19a5c8dd677e8fd6b3b7ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-13T08:32:38Z",
    "title_canon_sha256": "ae52b4f33ccbe7357535d114367b4390a05a32690ae5c5d7e02c00e623177db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03167",
    "kind": "arxiv",
    "version": 1
  }
}