Pith Number

pith:G4SCDXYA

pith:2025:G4SCDXYAPMC4P6SNHJFSRL36LK

not attested not anchored not stored refs pending

Indecomposability and beyond via the graph of edge dependencies

Arnau Padrol, Germain Poullot

arxiv:2512.05307 v4 · 2025-12-04 · 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{G4SCDXYAPMC4P6SNHJFSRL36LK}

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.

Cited by

1 paper in Pith

Indecomposability of 0/1-polytopes

Receipt and verification

First computed	2026-05-26T01:03:19.310720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372421df007b05c7fa4d3a4b28af7e5a93975b4eb90b75fa7e41a0afc3fd803a

Aliases

arxiv: 2512.05307 · arxiv_version: 2512.05307v4 · doi: 10.48550/arxiv.2512.05307 · pith_short_12: G4SCDXYAPMC4 · pith_short_16: G4SCDXYAPMC4P6SN · pith_short_8: G4SCDXYA

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/G4SCDXYAPMC4P6SNHJFSRL36LK \
  | 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: 372421df007b05c7fa4d3a4b28af7e5a93975b4eb90b75fa7e41a0afc3fd803a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882c8fc15778f23ba1ef1576c13cc5b4ce23bf01e561f8e46a82665f7be93069",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-04T23:02:42Z",
    "title_canon_sha256": "7a72594f16347280770080c0f17049652cf4dfb3410a3627e54fdad06208616e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05307",
    "kind": "arxiv",
    "version": 4
  }
}