Pith Number

pith:WQNZAAHL

pith:2010:WQNZAAHLGS4BO3AABAWNSTYV3C

not attested not anchored not stored refs pending

Flow-Cut Gaps for Integer and Fractional Multiflows

Chandra Chekuri, Christophe Weibel, F. Bruce Shepherd

arxiv:1008.2136 v1 · 2010-08-12 · cs.DM · 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{WQNZAAHLGS4BO3AABAWNSTYV3C}

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	2026-05-18T04:42:14.411008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41b9000eb34b8176c00082cd94f15d88bc9ca31447435ed6eac90628199e7fc

Aliases

arxiv: 1008.2136 · arxiv_version: 1008.2136v1 · doi: 10.48550/arxiv.1008.2136 · pith_short_12: WQNZAAHLGS4B · pith_short_16: WQNZAAHLGS4BO3AA · pith_short_8: WQNZAAHL

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/WQNZAAHLGS4BO3AABAWNSTYV3C \
  | 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: b41b9000eb34b8176c00082cd94f15d88bc9ca31447435ed6eac90628199e7fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a246622a07f8edf20f0ecd856b28b71eb13be5cec80971060d5fa6462fec3fff",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-08-12T15:16:29Z",
    "title_canon_sha256": "88466049f54c20baaa675a34ed2274272e79ddf5b48bd6a52eaabf5649e3945d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2136",
    "kind": "arxiv",
    "version": 1
  }
}