Pith Number

pith:SQRWMML5

pith:2009:SQRWMML5HNHNMAAPBKOYBVUBRM

not attested not anchored not stored refs pending

Convergence and Tradeoff of Utility-Optimal CSMA

Alexandre Proutiere, H. Vincent Poor, Jiaping Liu, Mung Chiang, Yung Yi

arxiv:0902.1996 v1 · 2009-02-12 · 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{SQRWMML5HNHNMAAPBKOYBVUBRM}

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	2026-05-18T00:57:58.280089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942366317d3b4ed6000f0a9d80d6818b1f3ae6d67fb6faf036abe936ac2b9b16

Aliases

arxiv: 0902.1996 · arxiv_version: 0902.1996v1 · doi: 10.48550/arxiv.0902.1996 · pith_short_12: SQRWMML5HNHN · pith_short_16: SQRWMML5HNHNMAAP · pith_short_8: SQRWMML5

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/SQRWMML5HNHNMAAPBKOYBVUBRM \
  | 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: 942366317d3b4ed6000f0a9d80d6818b1f3ae6d67fb6faf036abe936ac2b9b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0adc5aa55d7aca45edffdc670ae8c7d3dcf7ebb263d443db391355ac3aff598",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-02-12T20:41:50Z",
    "title_canon_sha256": "7613fc8be8b50c9ba74ba1808d96fbbb4c2c581964d13ed7fd9722f41d34f157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1996",
    "kind": "arxiv",
    "version": 1
  }
}