Pith Number

pith:LRDSWCNO

pith:2013:LRDSWCNONYYR3WXGGD65KUVUBP

not attested not anchored not stored refs pending

On retracts, absolute retracts, and folds in cographs

Ton Kloks, Yue-Li Wang

arxiv:1301.3979 v4 · 2013-01-17 · 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{LRDSWCNONYYR3WXGGD65KUVUBP}

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	2026-05-18T03:30:02.052913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c472b09ae6e311ddae630fdd552b40bc2cb73bdfb29b121ded734a47ca8bcf6

Aliases

arxiv: 1301.3979 · arxiv_version: 1301.3979v4 · doi: 10.48550/arxiv.1301.3979 · pith_short_12: LRDSWCNONYYR · pith_short_16: LRDSWCNONYYR3WXG · pith_short_8: LRDSWCNO

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/LRDSWCNONYYR3WXGGD65KUVUBP \
  | 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: 5c472b09ae6e311ddae630fdd552b40bc2cb73bdfb29b121ded734a47ca8bcf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f971c6857f3d714db087857e5d214b898140304e4bdfa933e036357c08bcc5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-01-17T04:33:37Z",
    "title_canon_sha256": "2a12fceaa52c6987b3573bc48b39b5ade7e1d0a4791d61b7adfe43e4a57a0c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3979",
    "kind": "arxiv",
    "version": 4
  }
}