Pith Number

pith:JQ7OIITX

pith:2013:JQ7OIITXEEXO4MEOMPDLF5BYWL

not attested not anchored not stored refs pending

Congruences for the $k$ dots bracelet partition functions

Nancy S. S. Gu, Suping Cui

arxiv:1303.4826 v1 · 2013-03-20 · math.NT · 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{JQ7OIITXEEXO4MEOMPDLF5BYWL}

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	2026-05-18T03:30:24.750532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c3ee42277212eee308e63c6b2f438b2f48724784fe2f06cf8dd1276715b73f8

Aliases

arxiv: 1303.4826 · arxiv_version: 1303.4826v1 · doi: 10.48550/arxiv.1303.4826 · pith_short_12: JQ7OIITXEEXO · pith_short_16: JQ7OIITXEEXO4MEO · pith_short_8: JQ7OIITX

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/JQ7OIITXEEXO4MEOMPDLF5BYWL \
  | 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: 4c3ee42277212eee308e63c6b2f438b2f48724784fe2f06cf8dd1276715b73f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf7b7c2840740297bceba15294538c19163d0f6dd1d3b452c5d2c432d160efd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-20T03:16:38Z",
    "title_canon_sha256": "7f0e4f54f77ec6d064d67fdb34376cf826726891cbe084226990f4993d330391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4826",
    "kind": "arxiv",
    "version": 1
  }
}