Pith Number

pith:3J72IVWF

pith:2013:3J72IVWF3XCFDP7KAPP32NOVJZ

not attested not anchored not stored refs pending

A class of perfectly contractile graphs

Fr\'ed\'eric Maffray, Nicolas Trotignon

arxiv:1309.0438 v1 · 2013-09-02 · 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{3J72IVWF3XCFDP7KAPP32NOVJZ}

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	2026-05-18T03:14:27.297988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7fa456c5ddc451bfea03dfbd35d54e45c5c8e4a8f92266b71323f455e760b7

Aliases

arxiv: 1309.0438 · arxiv_version: 1309.0438v1 · doi: 10.48550/arxiv.1309.0438 · pith_short_12: 3J72IVWF3XCF · pith_short_16: 3J72IVWF3XCFDP7K · pith_short_8: 3J72IVWF

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/3J72IVWF3XCFDP7KAPP32NOVJZ \
  | 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: da7fa456c5ddc451bfea03dfbd35d54e45c5c8e4a8f92266b71323f455e760b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d80ad3ac812750b5e78d180831de127b808c1e55d0ab151cd079c934c3db15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-02T15:25:00Z",
    "title_canon_sha256": "b42fecb8af375fd81d7b3730eee20b89e6a39aacb7261eedec6b71a67ecabeb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0438",
    "kind": "arxiv",
    "version": 1
  }
}