Pith Number

pith:3GQ4AZ4B

pith:2013:3GQ4AZ4B5RNOEK5R7B2CZXR5N5

not attested not anchored not stored refs pending

A Combinatorial $\tilde{O}(m^{3/2})$-time Algorithm for the Min-Cost Flow Problem

Andreas Karrenbauer, Ruben Becker

arxiv:1312.3905 v2 · 2013-12-13 · 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{3GQ4AZ4B5RNOEK5R7B2CZXR5N5}

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	2026-05-18T02:58:45.199452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a1c06781ec5ae22bb1f8742cde3d6f69fa4fa67efa9d56a3297b21b17400b1

Aliases

arxiv: 1312.3905 · arxiv_version: 1312.3905v2 · doi: 10.48550/arxiv.1312.3905 · pith_short_12: 3GQ4AZ4B5RNO · pith_short_16: 3GQ4AZ4B5RNOEK5R · pith_short_8: 3GQ4AZ4B

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/3GQ4AZ4B5RNOEK5R7B2CZXR5N5 \
  | 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: d9a1c06781ec5ae22bb1f8742cde3d6f69fa4fa67efa9d56a3297b21b17400b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b120816deeaa76c11b33a0211e3a687fe182d462d1dbdd64dbf26e51a439662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-12-13T19:01:48Z",
    "title_canon_sha256": "db61740fbeca7d1674f2f0eb071725c501ea7b62e0b32ae1cf3792a45019a83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3905",
    "kind": "arxiv",
    "version": 2
  }
}