Pith Number

pith:W5L24YLR

pith:2015:W5L24YLR3WBKBHNONFHSDX5MB3

not attested not anchored not stored refs pending

Completely monotonic gamma ratio and infinitely divisible H-function of Fox

Dmitrii Karp, Elena Prilepkina

arxiv:1501.05388 v2 · 2015-01-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T02:18:32.785469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b757ae6171dd82a09dae694f21dfac0ee046a62e560ba35c813e998e23e4b48b

Aliases

arxiv: 1501.05388 · arxiv_version: 1501.05388v2 · doi: 10.48550/arxiv.1501.05388 · pith_short_12: W5L24YLR3WBK · pith_short_16: W5L24YLR3WBKBHNO · pith_short_8: W5L24YLR

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/W5L24YLR3WBKBHNONFHSDX5MB3 \
  | 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: b757ae6171dd82a09dae694f21dfac0ee046a62e560ba35c813e998e23e4b48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e066cd9f64e74074f8cc9adb1d66b6db17cffb4e1545c71bb27f3ec3b08a45b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-22T04:22:04Z",
    "title_canon_sha256": "5ed7493422f012bccd6647e74563793f1f552d89915c91374d55ac16abb0d9b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05388",
    "kind": "arxiv",
    "version": 2
  }
}