Pith Number

pith:MJIBOEXO

pith:2021:MJIBOEXOW5WPUQYS56ASTKANIX

not attested not anchored not stored refs pending

Gomory-Hu Trees in Quadratic Time

Tianyi Zhang

arxiv:2112.01042 v1 · 2021-12-02 · 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{MJIBOEXOW5WPUQYS56ASTKANIX}

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.

Cited by

1 paper in Pith

A Simple and Fast Reduction from Gomory-Hu Trees to Polylog Maxflows

Receipt and verification

First computed	2026-07-05T03:37:02.991486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62501712eeb76cfa4312ef8129a80d45c30e16e474aa9de7199717ca4647d172

Aliases

arxiv: 2112.01042 · arxiv_version: 2112.01042v1 · doi: 10.48550/arxiv.2112.01042 · pith_short_12: MJIBOEXOW5WP · pith_short_16: MJIBOEXOW5WPUQYS · pith_short_8: MJIBOEXO

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/MJIBOEXOW5WPUQYS56ASTKANIX \
  | 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: 62501712eeb76cfa4312ef8129a80d45c30e16e474aa9de7199717ca4647d172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651b373bfc545e03039dbbf3b3bb86cbab5bfb88824b507fba3d19642f9b653a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-12-02T08:08:33Z",
    "title_canon_sha256": "e9dedd530958c239ed5439b47ac7fb10f0b6e6ecb8679e975ef887cb35f5afb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01042",
    "kind": "arxiv",
    "version": 1
  }
}