Pith Number

pith:ZQCNDBZ4

pith:2013:ZQCNDBZ4MTITDDO3GSEO247RTE

not attested not anchored not stored refs pending

On the stretch factor of the Theta-4 graph

Andr\'e van Renssen, Jean-Lou De Carufel, Luis Barba, Prosenjit Bose, Sander Verdonschot

arxiv:1303.5473 v1 · 2013-03-21 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQCNDBZ4MTITDDO3GSEO247RTE}

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	2026-05-18T03:30:04.069873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc04d1873c64d1318ddb3488ed73f19912e5a22c1c14da7584128e42d42f5b7c

Aliases

arxiv: 1303.5473 · arxiv_version: 1303.5473v1 · doi: 10.48550/arxiv.1303.5473 · pith_short_12: ZQCNDBZ4MTIT · pith_short_16: ZQCNDBZ4MTITDDO3 · pith_short_8: ZQCNDBZ4

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/ZQCNDBZ4MTITDDO3GSEO247RTE \
  | 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: cc04d1873c64d1318ddb3488ed73f19912e5a22c1c14da7584128e42d42f5b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7863a2ffbc4db41fdabcdf9d946680871b160398dd0ef5d7a8bdc0916a722061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-03-21T21:53:16Z",
    "title_canon_sha256": "727feed0967f53375615a25128325090be20aca9fa687462a393132254917e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5473",
    "kind": "arxiv",
    "version": 1
  }
}