Pith Number

pith:MBSFCAII

pith:2011:MBSFCAIIBQNV2FLGVGIBLJETHK

not attested not anchored not stored refs pending

On the number of subsequences with a given sum in a finite abelian group

Gerard Jennhwa Chang, Guoqing Wang, Haiyan Zhang, Sheng-Hua Chen, Yongke Qu

arxiv:1101.4492 v1 · 2011-01-24 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBSFCAIIBQNV2FLGVGIBLJETHK}

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	2026-05-18T04:31:10.950367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60645101080c1b5d1566a99015a4933a8027888334db4c55fe6a0edc375d1ede

Aliases

arxiv: 1101.4492 · arxiv_version: 1101.4492v1 · doi: 10.48550/arxiv.1101.4492 · pith_short_12: MBSFCAIIBQNV · pith_short_16: MBSFCAIIBQNV2FLG · pith_short_8: MBSFCAII

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/MBSFCAIIBQNV2FLGVGIBLJETHK \
  | 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: 60645101080c1b5d1566a99015a4933a8027888334db4c55fe6a0edc375d1ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f350828ad21a110e53f9fc92fa5f3853b65f4c572abd9f188806d0b9f2cb8021",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-24T10:43:37Z",
    "title_canon_sha256": "91870ee602618043ab6e645211d499dcc3db920bdb05dfe48e125b0a213145b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4492",
    "kind": "arxiv",
    "version": 1
  }
}