Pith Number

pith:JQXVRFT6

pith:2025:JQXVRFT6PYOTN6BR3A2WTRKYU4

not attested not anchored not stored refs pending

Some identities which involve Stirling numbers

Stefano Frixione

arxiv:2505.21197 v1 · 2025-05-27 · hep-ph · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQXVRFT6PYOTN6BR3A2WTRKYU4}

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	2026-07-05T11:10:58.904291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2f58967e7e1d36f831d83569c558a716e5b9ef97b6e6d3f3559eaf14839c55

Aliases

arxiv: 2505.21197 · arxiv_version: 2505.21197v1 · doi: 10.48550/arxiv.2505.21197 · pith_short_12: JQXVRFT6PYOT · pith_short_16: JQXVRFT6PYOTN6BR · pith_short_8: JQXVRFT6

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/JQXVRFT6PYOTN6BR3A2WTRKYU4 \
  | 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: 4c2f58967e7e1d36f831d83569c558a716e5b9ef97b6e6d3f3559eaf14839c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271aef084ef9c10d06bac4f443d787c558b4c49b077f08ad94b0aae5eb239e6b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-05-27T13:44:39Z",
    "title_canon_sha256": "531d6bdc726d5511b78552ba340236ee1e41318b3f3ef55ef8e789bf2ce27139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21197",
    "kind": "arxiv",
    "version": 1
  }
}