Pith Number

pith:5J3P3ZTW

pith:2022:5J3P3ZTWCE3P4BLTQOHQMC23GW

not attested not anchored not stored refs pending

Enumeration of Odd-Dimensional Partitions modulo 4

Aditya Khanna

arxiv:2207.07513 v4 · 2022-07-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J3P3ZTWCE3P4BLTQOHQMC23GW}

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

1 paper in Pith

Dimensions of compositions modulo a prime

Receipt and verification

First computed	2026-05-26T02:03:44.078301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea76fde6761136fe0573838f060b5b35bdb126549b99fd76baf8df67d27e59d9

Aliases

arxiv: 2207.07513 · arxiv_version: 2207.07513v4 · doi: 10.48550/arxiv.2207.07513 · pith_short_12: 5J3P3ZTWCE3P · pith_short_16: 5J3P3ZTWCE3P4BLT · pith_short_8: 5J3P3ZTW

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/5J3P3ZTWCE3P4BLTQOHQMC23GW \
  | 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: ea76fde6761136fe0573838f060b5b35bdb126549b99fd76baf8df67d27e59d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86931941562631752512f66603445bc1cbff5255fc27a2fab66b41089fe1e043",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-15T14:57:38Z",
    "title_canon_sha256": "ffc58a549786fb5a7bcc57a15dd344ea3caae97074ba8d43023331bb55105a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07513",
    "kind": "arxiv",
    "version": 4
  }
}