Pith Number

pith:L72BGYYV

pith:2013:L72BGYYVUZTGDTO4Q6ELZ2X5MF

not attested not anchored not stored refs pending

Truncation symmetry type graphs

Maria del Rio Francos

arxiv:1306.2540 v2 · 2013-06-11 · 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{L72BGYYVUZTGDTO4Q6ELZ2X5MF}

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	2026-05-18T03:09:48.229626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff4136315a66661cddc8788bceafd6153b7a43665ee2e7d1be92da129e107b5

Aliases

arxiv: 1306.2540 · arxiv_version: 1306.2540v2 · doi: 10.48550/arxiv.1306.2540 · pith_short_12: L72BGYYVUZTG · pith_short_16: L72BGYYVUZTGDTO4 · pith_short_8: L72BGYYV

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/L72BGYYVUZTGDTO4Q6ELZ2X5MF \
  | 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: 5ff4136315a66661cddc8788bceafd6153b7a43665ee2e7d1be92da129e107b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a3d1b0d9a546607b498e5ab958fd542dce060808da04756cc35b01c804f6da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-11T14:48:13Z",
    "title_canon_sha256": "3c9ef5076862ab8a1fdf138eb9fb97dbf085bebf6d17c1fb1411fb5345f3648b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2540",
    "kind": "arxiv",
    "version": 2
  }
}