Pith Number

pith:ZO45Q2CN

pith:2025:ZO45Q2CNILWWMF2NDFVGNRY673

not attested not anchored not stored refs pending

Deterministic Almost-Linear-Time Gomory-Hu Trees

Amir Abboud, Debmalya Panigrahi, Jason Li, Maximilian Probst Gutenberg, Rasmus Kyng, Thatchaphol Saranurak, Weixuan Yuan, Wuwei Yuan

arxiv:2507.20354 v1 · 2025-07-27 · 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{ZO45Q2CNILWWMF2NDFVGNRY673}

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	2026-07-05T11:44:17.674988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb9d8684d42ed66174d196a66c71efeea34581bee766ae943d86e92e81ad68b

Aliases

arxiv: 2507.20354 · arxiv_version: 2507.20354v1 · doi: 10.48550/arxiv.2507.20354 · pith_short_12: ZO45Q2CNILWW · pith_short_16: ZO45Q2CNILWWMF2N · pith_short_8: ZO45Q2CN

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/ZO45Q2CNILWWMF2NDFVGNRY673 \
  | 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: cbb9d8684d42ed66174d196a66c71efeea34581bee766ae943d86e92e81ad68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d99e65cdb5cc36766e9059cc4bbeefee74dff800986d80b8729b704e1fee3b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-07-27T16:59:40Z",
    "title_canon_sha256": "8f89aa166c33370cee38da9242f22f362028162f22e59d1fc84cbe276a6ad5c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20354",
    "kind": "arxiv",
    "version": 1
  }
}