Pith Number

pith:5CMRYB7Q

pith:2025:5CMRYB7Q43PDNMELABAG5RQIIM

not attested not anchored not stored refs pending

A divisor generating $q$-series and cumulants arising from random graphs

Archit Agarwal, Bibekananda Maji, Pramod Eyyunni, Subhash Chand Bhoria, Tanay Wakhare

arxiv:2501.15869 v2 · 2025-01-27 · math.NT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CMRYB7Q43PDNMELABAG5RQIIM}

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	2026-07-05T11:40:51.938985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8991c07f0e6de36b08b00406ec60843009110f534483259d2d2c106ba30fd26

Aliases

arxiv: 2501.15869 · arxiv_version: 2501.15869v2 · doi: 10.48550/arxiv.2501.15869 · pith_short_12: 5CMRYB7Q43PD · pith_short_16: 5CMRYB7Q43PDNMEL · pith_short_8: 5CMRYB7Q

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/5CMRYB7Q43PDNMELABAG5RQIIM \
  | 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: e8991c07f0e6de36b08b00406ec60843009110f534483259d2d2c106ba30fd26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba05082d3269a4d3f6c04b75fc710d6bfaef9473183edae12c4734fbc12a9a27",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-27T08:44:48Z",
    "title_canon_sha256": "204aca94fb55ec15a1756edd65badaafd793ded7168fe4666a44e24209b24ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15869",
    "kind": "arxiv",
    "version": 2
  }
}