Pith Number

pith:GMBIMON2

pith:2012:GMBIMON2JJS2BZ5CSBGQOLXVWF

not attested not anchored not stored refs pending

On Weighted Multicommodity Flows in Directed Networks

Alexander V. Karzanov, Maxim A. Babenko

arxiv:1212.0224 v1 · 2012-12-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMBIMON2JJS2BZ5CSBGQOLXVWF}

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	2026-05-18T03:39:26.835616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33028639ba4a65a0e7a2904d072ef5b17960778045fa610724211864a94d0dbd

Aliases

arxiv: 1212.0224 · arxiv_version: 1212.0224v1 · doi: 10.48550/arxiv.1212.0224 · pith_short_12: GMBIMON2JJS2 · pith_short_16: GMBIMON2JJS2BZ5C · pith_short_8: GMBIMON2

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/GMBIMON2JJS2BZ5CSBGQOLXVWF \
  | 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: 33028639ba4a65a0e7a2904d072ef5b17960778045fa610724211864a94d0dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b82767ab5484de0ed82874ce0a2568132690d0c73385559ffeeca18c631bdaa",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-02T16:53:04Z",
    "title_canon_sha256": "7660ec5286995cbfa5477d57f65cecc72eda6d5025df51ecb6823aeb02f535c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0224",
    "kind": "arxiv",
    "version": 1
  }
}