Pith Number

pith:4LWSFOJ7

pith:2013:4LWSFOJ7LJQUG546DXY7TZCGW2

not attested not anchored not stored refs pending

Reconstructing the topology of clones

Andr\'as Pongr\'acz, Manuel Bodirsky, Michael Pinsker

arxiv:1312.7699 v3 · 2013-12-30 · math.LO · cs.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LWSFOJ7LJQUG546DXY7TZCGW2}

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	2026-05-18T01:14:53.543267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ed22b93f5a6143779e1df1f9e446b6b7b7662dfb64b9c22ecc2ff500804ef5

Aliases

arxiv: 1312.7699 · arxiv_version: 1312.7699v3 · doi: 10.48550/arxiv.1312.7699 · pith_short_12: 4LWSFOJ7LJQU · pith_short_16: 4LWSFOJ7LJQUG546 · pith_short_8: 4LWSFOJ7

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/4LWSFOJ7LJQUG546DXY7TZCGW2 \
  | 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: e2ed22b93f5a6143779e1df1f9e446b6b7b7662dfb64b9c22ecc2ff500804ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fd0a1eed4e9f8867bfa04a034a29afb2438e97b8588c8266f297efafcdce48",
    "cross_cats_sorted": [
      "cs.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-30T12:51:42Z",
    "title_canon_sha256": "005ab60601930d454110a2f313677a0ffa214ed092e425077670cef1be14c4ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7699",
    "kind": "arxiv",
    "version": 3
  }
}