Pith Number

pith:MT7Q622P

pith:2012:MT7Q622PINAB7S7AJHKVTCZDZF

not attested not anchored not stored refs pending

Generation and Properties of Snarks

Gunnar Brinkmann, Jan Goedgebeur, Jonas H\"agglund, Klas Markstr\"om

arxiv:1206.6690 v3 · 2012-06-28 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MT7Q622PINAB7S7AJHKVTCZDZF}

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	2026-05-18T03:19:44.128912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ff0f6b4f43401fcbe049d5598b23c95a4b40b9509474cb7a1df4d9b6e6b8a2

Aliases

arxiv: 1206.6690 · arxiv_version: 1206.6690v3 · doi: 10.48550/arxiv.1206.6690 · pith_short_12: MT7Q622PINAB · pith_short_16: MT7Q622PINAB7S7A · pith_short_8: MT7Q622P

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/MT7Q622PINAB7S7AJHKVTCZDZF \
  | 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: 64ff0f6b4f43401fcbe049d5598b23c95a4b40b9509474cb7a1df4d9b6e6b8a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea04c070facad9aace34edf5144680ce3de712aed4c934923ecd947a69d64b4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-28T13:50:37Z",
    "title_canon_sha256": "dbae642ab5d83742e2b9e89225ffcb745a431fc64356e4295f8bc67dedb53d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6690",
    "kind": "arxiv",
    "version": 3
  }
}