Pith Number

pith:2VMVLTGY

pith:2012:2VMVLTGY7CMRUT7AG3HJXY5INB

not attested not anchored not stored refs pending

On the maximal multiplicity of long zero-sum free sequences over $C_p\oplus C_p$

Linlin Wang, Qinghai Zhong, Yushuang Fan

arxiv:1211.5226 v1 · 2012-11-22 · 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{2VMVLTGY7CMRUT7AG3HJXY5INB}

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	2026-05-18T03:40:04.967435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55955ccd8f8991a4fe036ce9be3a8687e4f0fe50012400d5884ec54fffd75e5

Aliases

arxiv: 1211.5226 · arxiv_version: 1211.5226v1 · doi: 10.48550/arxiv.1211.5226 · pith_short_12: 2VMVLTGY7CMR · pith_short_16: 2VMVLTGY7CMRUT7A · pith_short_8: 2VMVLTGY

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/2VMVLTGY7CMRUT7AG3HJXY5INB \
  | 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: d55955ccd8f8991a4fe036ce9be3a8687e4f0fe50012400d5884ec54fffd75e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab31c39e67bdd80cba6bc5d842003a61eff617acdd47819c6777f0a277805835",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-22T08:27:12Z",
    "title_canon_sha256": "d4224047f25c190304081fd8c9892d1fe610a2a16cd7984b8914dacb8e5323ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5226",
    "kind": "arxiv",
    "version": 1
  }
}