Pith Number

pith:CCSJFRPE

pith:2012:CCSJFRPEGYIGAQIPJDJJHHLPVL

not attested not anchored not stored refs pending

Gibbsian Method for the Self-Optimization of Cellular Networks

Chung Shue Chen, Francois Baccelli

arxiv:1207.3704 v2 · 2012-07-16 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCSJFRPEGYIGAQIPJDJJHHLPVL}

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	2026-05-18T03:17:24.975307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a492c5e4361060410f48d2939d6faacdfb47009d43a71f2257957a2859e01e

Aliases

arxiv: 1207.3704 · arxiv_version: 1207.3704v2 · doi: 10.48550/arxiv.1207.3704 · pith_short_12: CCSJFRPEGYIG · pith_short_16: CCSJFRPEGYIGAQIP · pith_short_8: CCSJFRPE

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/CCSJFRPEGYIGAQIPJDJJHHLPVL \
  | 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: 10a492c5e4361060410f48d2939d6faacdfb47009d43a71f2257957a2859e01e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5fc5dbd6ac51aea71f545b331d3cea95b90de425741d9ed149b0cd6406ef98",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-16T15:06:40Z",
    "title_canon_sha256": "4f8710d725975798a7c26b7cc9e2f7513ccbae36779f50b72a259e0540204b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3704",
    "kind": "arxiv",
    "version": 2
  }
}