Pith Number

pith:NKG6YSRI

pith:2023:NKG6YSRI3VFHGICQNV26C5IJZM

not attested not anchored not stored refs pending

Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc

Matthew C. Russell

arxiv:2306.16251 v3 · 2023-06-28 · math.CO · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKG6YSRI3VFHGICQNV26C5IJZM}

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.

Cited by

2 papers in Pith

Remarks on the conjectures of Capparelli, Meurman, Primc and Primc

Combinatorial construction of known positive series for partition classes defined by Capparelli, Meurman, Primc, and Primc in the $k$=1 Case

Receipt and verification

First computed	2026-05-18T03:10:13.292134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8dec4a28dd4a7320506d75e17509cb1d96939ab3e3511635b76c61ffc1d807

Aliases

arxiv: 2306.16251 · arxiv_version: 2306.16251v3 · doi: 10.48550/arxiv.2306.16251 · pith_short_12: NKG6YSRI3VFH · pith_short_16: NKG6YSRI3VFHGICQ · pith_short_8: NKG6YSRI

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/NKG6YSRI3VFHGICQNV26C5IJZM \
  | 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: 6a8dec4a28dd4a7320506d75e17509cb1d96939ab3e3511635b76c61ffc1d807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947ca04454e58c4007176196cb004a02edb2a755a5a65082c020ff2b2dca2a3a",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-28T14:25:55Z",
    "title_canon_sha256": "071b5d4e813e10e91660f457c61d51dd0e026ffa6d6001b8561247a6b51552b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.16251",
    "kind": "arxiv",
    "version": 3
  }
}