Pith Number

pith:CLXPJ7XX

pith:2011:CLXPJ7XXA2WJ262RDJ5J574YJR

not attested not anchored not stored refs pending

Multicommodity Flows and Cuts in Polymatroidal Networks

Adnan Raja, Chandra Chekuri, Pramod Viswanath, Sreeram Kannan

arxiv:1110.6832 v1 · 2011-10-31 · cs.DS · cs.DM · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLXPJ7XXA2WJ262RDJ5J574YJR}

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	2026-05-18T04:09:54.117368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12eef4fef706ac9d7b511a7a9eff984c4a7d9c2639977617549a4cfa97c4c20d

Aliases

arxiv: 1110.6832 · arxiv_version: 1110.6832v1 · doi: 10.48550/arxiv.1110.6832 · pith_short_12: CLXPJ7XXA2WJ · pith_short_16: CLXPJ7XXA2WJ262R · pith_short_8: CLXPJ7XX

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/CLXPJ7XXA2WJ262RDJ5J574YJR \
  | 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: 12eef4fef706ac9d7b511a7a9eff984c4a7d9c2639977617549a4cfa97c4c20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef91c394c762c38444658ba82c802435100d8cb4f9e785303a920d5b8de76e38",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-10-31T15:30:19Z",
    "title_canon_sha256": "5bf694641222896774b00b4c8e548e8fece8bfad31aee75768b02d0adb7e9af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6832",
    "kind": "arxiv",
    "version": 1
  }
}