Pith Number

pith:JCKPFN2L

pith:2012:JCKPFN2LAUN27ZWSVBGWZM27TH

not attested not anchored not stored refs pending

Realisation and dismantlability

Damian Osajda, Piotr Przytycki, Sebastian Hensel

arxiv:1205.0513 v1 · 2012-05-02 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCKPFN2LAUN27ZWSVBGWZM27TH}

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	2026-05-18T02:38:17.747830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4894f2b74b051bafe6d2a84d6cb35f99e297be76432113d72a9664d04f644076

Aliases

arxiv: 1205.0513 · arxiv_version: 1205.0513v1 · doi: 10.48550/arxiv.1205.0513 · pith_short_12: JCKPFN2LAUN2 · pith_short_16: JCKPFN2LAUN27ZWS · pith_short_8: JCKPFN2L

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/JCKPFN2LAUN27ZWSVBGWZM27TH \
  | 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: 4894f2b74b051bafe6d2a84d6cb35f99e297be76432113d72a9664d04f644076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687b2b68ddc1ec084259dd885b1a272a9dd018167f4997f0326d5e4e476f0a75",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-02T18:23:50Z",
    "title_canon_sha256": "35c37f607025cf7bb872dd5926746adff829c405166473af39542a1481da206d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0513",
    "kind": "arxiv",
    "version": 1
  }
}