Pith Number

pith:JMS2EKTK

pith:2006:JMS2EKTKTJJO7UNP5WR4ENGTDQ

not attested not anchored not stored refs pending

Product Multicommodity Flow in Wireless Networks

Devavrat Shah, Olivier Leveque, Ritesh Madan

arxiv:cs/0601012 v3 · 2006-01-05 · 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{JMS2EKTKTJJO7UNP5WR4ENGTDQ}

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	2026-05-18T00:58:26.688879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b25a22a6a9a52efd1afeda3c234d31c3d72052b9b436eee851ace58d09cd55b

Aliases

arxiv: cs/0601012 · arxiv_version: cs/0601012v3 · doi: 10.48550/arxiv.cs/0601012 · pith_short_12: JMS2EKTKTJJO · pith_short_16: JMS2EKTKTJJO7UNP · pith_short_8: JMS2EKTK

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/JMS2EKTKTJJO7UNP5WR4ENGTDQ \
  | 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: 4b25a22a6a9a52efd1afeda3c234d31c3d72052b9b436eee851ace58d09cd55b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a97ecd1f896cff34c5e4b615ab13c0717eda7361abba2c680f7678e07a40950",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2006-01-05T23:40:19Z",
    "title_canon_sha256": "40a2e69f8724502e5c074d87bdd57f134eef323532f68d7e2f0979c7e0ab9d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0601012",
    "kind": "arxiv",
    "version": 3
  }
}