Pith Number

pith:ZGTUFJW7

pith:2011:ZGTUFJW7ECCHEBMF3EHBNCL6V4

not attested not anchored not stored refs pending

Subset sums in abelian groups

Benjamin Girard (IMJ), Eric Balandraud (IMJ), Simon Griffiths (IMPA), Yahya Ould Hamidoune (IMJ)

arxiv:1112.1929 v1 · 2011-12-08 · 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{ZGTUFJW7ECCHEBMF3EHBNCL6V4}

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	2026-05-18T02:48:53.467889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a742a6df2084720585d90e16897eaf08ec1eb4d6d42e4a0ff0c856184cc982

Aliases

arxiv: 1112.1929 · arxiv_version: 1112.1929v1 · doi: 10.48550/arxiv.1112.1929 · pith_short_12: ZGTUFJW7ECCH · pith_short_16: ZGTUFJW7ECCHEBMF · pith_short_8: ZGTUFJW7

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/ZGTUFJW7ECCHEBMF3EHBNCL6V4 \
  | 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: c9a742a6df2084720585d90e16897eaf08ec1eb4d6d42e4a0ff0c856184cc982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7550709965f088f024a9538c269ac72ed0cecdc0bc2ebfaaf531003a8cff2c68",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-08T20:10:47Z",
    "title_canon_sha256": "34031704820793d5012ab23b8d7223fcc2aca8ef1385066b865c3fbbeaf8c0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1929",
    "kind": "arxiv",
    "version": 1
  }
}