Pith Number

pith:4J5O4FC6

pith:2018:4J5O4FC6E2JWROI56PLLKTSPPW

not attested not anchored not stored refs pending

Equivalence between pathbreadth and strong pathbreadth

Arne Leitert, Guillaume Ducoffe

arxiv:1809.06041 v1 · 2018-09-17 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4J5O4FC6E2JWROI56PLLKTSPPW}

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	2026-05-18T00:05:35.801656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27aee145e269368b91df3d6b54e4f7daa731150202f0c51ec1f418521b447b7

Aliases

arxiv: 1809.06041 · arxiv_version: 1809.06041v1 · doi: 10.48550/arxiv.1809.06041 · pith_short_12: 4J5O4FC6E2JW · pith_short_16: 4J5O4FC6E2JWROI5 · pith_short_8: 4J5O4FC6

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/4J5O4FC6E2JWROI56PLLKTSPPW \
  | 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: e27aee145e269368b91df3d6b54e4f7daa731150202f0c51ec1f418521b447b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78647d6c3a3bb5d7522d0a6d05f8e2d6666c4b75df3bd2b58275d46ccfbb603a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-09-17T06:40:31Z",
    "title_canon_sha256": "cc081d92a93ae1c33b8870d3836d168358c3248ef1b42aee7cb9d8dc70997c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06041",
    "kind": "arxiv",
    "version": 1
  }
}