Pith Number

pith:NN3OTDWR

pith:2016:NN3OTDWR6P6TAB7HPP3BWEU4GI

not attested not anchored not stored refs pending

Approximating Cycles in Directed Graphs: Fast Algorithms for Girth and Roundtrip Spanners

Aaron Sidford, Jakub Pachocki, Liam Roditty, Roei Tov, Virginia Vassilevska Williams

arxiv:1611.00721 v2 · 2016-11-02 · 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{NN3OTDWR6P6TAB7HPP3BWEU4GI}

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	2026-05-18T00:08:23.925018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b76e98ed1f3fd3007e77bf61b129c322ef4f59c8e3ff2435ec69e1c9f975a5d

Aliases

arxiv: 1611.00721 · arxiv_version: 1611.00721v2 · doi: 10.48550/arxiv.1611.00721 · pith_short_12: NN3OTDWR6P6T · pith_short_16: NN3OTDWR6P6TAB7H · pith_short_8: NN3OTDWR

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/NN3OTDWR6P6TAB7HPP3BWEU4GI \
  | 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: 6b76e98ed1f3fd3007e77bf61b129c322ef4f59c8e3ff2435ec69e1c9f975a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b86388a65f2bafa06e5823f5620ae2989f292d643608c7acea4987b91ec2112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-02T18:40:54Z",
    "title_canon_sha256": "707ed8d9558bf8deecf7d3e2873e0f62f34f9f936e55b8eca036620d97baaabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00721",
    "kind": "arxiv",
    "version": 2
  }
}