Pith Number

pith:KCLJ7IGN

pith:2014:KCLJ7IGNVAAAZMRV3MWOIFADEV

not attested not anchored not stored refs pending

Unstable Graphs: A Fresh Outlook via TF-Automorphisms

Josef Lauri, Raffaele Scapellato, Russell Mizzi

arxiv:1401.6552 v1 · 2014-01-25 · 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{KCLJ7IGNVAAAZMRV3MWOIFADEV}

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	2026-05-18T03:01:01.384151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50969fa0cda8000cb235db2ce41403254b62543feb62f75adc23b137c2435f66

Aliases

arxiv: 1401.6552 · arxiv_version: 1401.6552v1 · doi: 10.48550/arxiv.1401.6552 · pith_short_12: KCLJ7IGNVAAA · pith_short_16: KCLJ7IGNVAAAZMRV · pith_short_8: KCLJ7IGN

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/KCLJ7IGNVAAAZMRV3MWOIFADEV \
  | 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: 50969fa0cda8000cb235db2ce41403254b62543feb62f75adc23b137c2435f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d7ef62043890cc1f80ce646f60f582e1b2bc67cf66f3c7a724ef0cfcea96879",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-25T15:52:24Z",
    "title_canon_sha256": "c2221f0519890b480a714e8c066355aa2cac09b67ddb79532efb409de90c3ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6552",
    "kind": "arxiv",
    "version": 1
  }
}