Pith Number

pith:3D2VTWTM

pith:2012:3D2VTWTMNSWD4SYX57VODGIFLM

not attested not anchored not stored refs pending

$\wedge$-transitive digraphs preserving a cartesian decomposition

Joy Morris, Pablo Spiga

arxiv:1203.6386 v2 · 2012-03-28 · 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{3D2VTWTMNSWD4SYX57VODGIFLM}

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	2026-05-18T02:48:43.816455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f559da6c6cac3e4b17efeae199055b282ebb1741aa2a2f5c70bbed73a52409

Aliases

arxiv: 1203.6386 · arxiv_version: 1203.6386v2 · doi: 10.48550/arxiv.1203.6386 · pith_short_12: 3D2VTWTMNSWD · pith_short_16: 3D2VTWTMNSWD4SYX · pith_short_8: 3D2VTWTM

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/3D2VTWTMNSWD4SYX57VODGIFLM \
  | 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: d8f559da6c6cac3e4b17efeae199055b282ebb1741aa2a2f5c70bbed73a52409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79677f8c1121295707d08611f959a65a3c318d5354ce3e99a16ef0ff3051db13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-28T21:41:39Z",
    "title_canon_sha256": "ab5867cc9296f7fb9f845da8d298e2c553d50cb4008d06baf07eddae63352e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6386",
    "kind": "arxiv",
    "version": 2
  }
}