Pith Number

pith:P2X6TK5D

pith:2012:P2X6TK5DAZD5AK3CQYVVO3S3WA

not attested not anchored not stored refs pending

Basic Packing of Arborescences

Olivier Durand de Gevigney, Viet-Hang Nguyen, Zolt\'an Szigeti

arxiv:1207.1985 v1 · 2012-07-09 · 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{P2X6TK5DAZD5AK3CQYVVO3S3WA}

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	2026-05-18T03:51:26.393196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eafe9aba30647d02b62862b576e5bb00b5f31a834e0576718e8e9682010ab69

Aliases

arxiv: 1207.1985 · arxiv_version: 1207.1985v1 · doi: 10.48550/arxiv.1207.1985 · pith_short_12: P2X6TK5DAZD5 · pith_short_16: P2X6TK5DAZD5AK3C · pith_short_8: P2X6TK5D

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/P2X6TK5DAZD5AK3CQYVVO3S3WA \
  | 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: 7eafe9aba30647d02b62862b576e5bb00b5f31a834e0576718e8e9682010ab69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3fc716d1d383e32f32ef5ce3194c9b19839a9d0778b6749f269fbaf87abdb16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-09T08:37:15Z",
    "title_canon_sha256": "6a58da6d191fc4cc0a3efce6a475399a4a1c3fb9023b23396feed0b2df85e04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1985",
    "kind": "arxiv",
    "version": 1
  }
}