Pith Number

pith:4F7XS3CP

pith:2011:4F7XS3CPWZCDNLJWOSWH725QFS

not attested not anchored not stored refs pending

The subset sum problem for finite abelian groups

Michiel Kosters

arxiv:1112.6294 v1 · 2011-12-29 · math.CO · math.GR · 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{4F7XS3CPWZCDNLJWOSWH725QFS}

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	2026-05-18T01:33:57.300242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17f796c4fb64436ad3674ac7febb02c8f3e72aa7e7a5c25ee31506ee7af14c2

Aliases

arxiv: 1112.6294 · arxiv_version: 1112.6294v1 · doi: 10.48550/arxiv.1112.6294 · pith_short_12: 4F7XS3CPWZCD · pith_short_16: 4F7XS3CPWZCDNLJW · pith_short_8: 4F7XS3CP

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/4F7XS3CPWZCDNLJWOSWH725QFS \
  | 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: e17f796c4fb64436ad3674ac7febb02c8f3e72aa7e7a5c25ee31506ee7af14c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8d689b0e8dbb82f7359a372cc4287e1b3f79ca45f93dc12c55dc60c2682bcd",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-29T12:40:27Z",
    "title_canon_sha256": "4fdcf96fd2a4443fd83e4e99836dcecdae483d8fed6385c06127c7d1702c872e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6294",
    "kind": "arxiv",
    "version": 1
  }
}