Pith Number

pith:MKAASL5A

pith:2013:MKAASL5AUHXWIK64TNGZY5XX4T

not attested not anchored not stored refs pending

Infinite Motion and 2-Distinguishability of Graphs and Groups

Mark E. Watkins, Simon M. Smith, Thomas W. Tucker, Wilfried Imrich

arxiv:1304.6436 v2 · 2013-04-23 · 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{MKAASL5AUHXWIK64TNGZY5XX4T}

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	2026-05-18T03:26:11.903839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6280092fa0a1ef642bdc9b4d9c76f7e4d196cb6dd40d7ca3e7aca76becdd3af3

Aliases

arxiv: 1304.6436 · arxiv_version: 1304.6436v2 · doi: 10.48550/arxiv.1304.6436 · pith_short_12: MKAASL5AUHXW · pith_short_16: MKAASL5AUHXWIK64 · pith_short_8: MKAASL5A

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/MKAASL5AUHXWIK64TNGZY5XX4T \
  | 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: 6280092fa0a1ef642bdc9b4d9c76f7e4d196cb6dd40d7ca3e7aca76becdd3af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb8fcb41566015333f26b06c2dcbfa785517477085710f2e4de4bce8064397c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-23T22:39:49Z",
    "title_canon_sha256": "1dd18d5ac27097d30267fe01d184739214d30d5ce0e4775ab39e45e99945ffb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6436",
    "kind": "arxiv",
    "version": 2
  }
}