Pith Number

pith:JMX3ETJZ

pith:2026:JMX3ETJZW6DIYILNUM5PG7IZAO

not attested not anchored not stored refs pending

Tighter bounds for weighted and unweighted shortest cycle approximation

Avi Kadria, Liam Roditty, Virginia Vassilevska Williams

arxiv:2607.00938 v1 · 2026-07-01 · 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{JMX3ETJZW6DIYILNUM5PG7IZAO}

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	2026-07-02T01:18:24.024173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b2fb24d39b7868c216da33af37d1903938bb1e24f1d78468d2c0f6f7f722183

Aliases

arxiv: 2607.00938 · arxiv_version: 2607.00938v1 · doi: 10.48550/arxiv.2607.00938 · pith_short_12: JMX3ETJZW6DI · pith_short_16: JMX3ETJZW6DIYILN · pith_short_8: JMX3ETJZ

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/JMX3ETJZW6DIYILNUM5PG7IZAO \
  | 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: 4b2fb24d39b7868c216da33af37d1903938bb1e24f1d78468d2c0f6f7f722183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc66e150512dd0e3a566742deac2a5e1655c7e5cf70cd97d106ccd81f03fe31",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-01T13:40:42Z",
    "title_canon_sha256": "3adb66fd596ab97eb32082b13c4c195784906d4b8507d6e6d559a45e25482e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00938",
    "kind": "arxiv",
    "version": 1
  }
}