Pith Number

pith:WSSPL2JI

pith:2025:WSSPL2JIMLLDITFGJURCNOODQ4

not attested not anchored not stored refs pending

Angular phase-space integrals with four denominators through Mellin--Barnes

Andreas Rapakoulias, Syed Mehedi Hasan, Taushif Ahmed

arxiv:2508.15952 v1 · 2025-08-21 · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSSPL2JIMLLDITFGJURCNOODQ4}

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	2026-07-05T11:57:23.690843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4a4f5e92862d6344ca64d2226b9c38704b6dae3ffe87069a965edc3b97b5a91

Aliases

arxiv: 2508.15952 · arxiv_version: 2508.15952v1 · doi: 10.48550/arxiv.2508.15952 · pith_short_12: WSSPL2JIMLLD · pith_short_16: WSSPL2JIMLLDITFG · pith_short_8: WSSPL2JI

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/WSSPL2JIMLLDITFGJURCNOODQ4 \
  | 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: b4a4f5e92862d6344ca64d2226b9c38704b6dae3ffe87069a965edc3b97b5a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8ca4cf6aa77c02767763bad701d1470055186bbafe0d556b09a57562b13b75",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-08-21T20:45:20Z",
    "title_canon_sha256": "0754c774e23ca25b07ebb84c876b9b7fadb55880a472db914cb0677954d8cca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15952",
    "kind": "arxiv",
    "version": 1
  }
}