Pith Number

pith:GRZKNDVT

pith:2009:GRZKNDVTAGRLYPIWL6LZPJPR3Y

not attested not anchored not stored refs pending

A Multiobjective Optimization Framework for Routing in Wireless Ad Hoc Networks

Cristina Comaniciu, Jean-Marie Gorce, Katia Jaffr\`es-Runser

arxiv:0902.0782 v2 · 2009-02-04 · cs.NI · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRZKNDVTAGRLYPIWL6LZPJPR3Y}

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	2026-05-18T04:42:13.901885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3472a68eb301a2bc3d165f9797a5f1de0c1732faf9a7dc22d9442da450ad0b60

Aliases

arxiv: 0902.0782 · arxiv_version: 0902.0782v2 · doi: 10.48550/arxiv.0902.0782 · pith_short_12: GRZKNDVTAGRL · pith_short_16: GRZKNDVTAGRLYPIW · pith_short_8: GRZKNDVT

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/GRZKNDVTAGRLYPIWL6LZPJPR3Y \
  | 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: 3472a68eb301a2bc3d165f9797a5f1de0c1732faf9a7dc22d9442da450ad0b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f434a5e4ab976997c251640f09152600570db974581b0d4208082cb6c5887b6",
    "cross_cats_sorted": [
      "cs.PF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2009-02-04T19:48:42Z",
    "title_canon_sha256": "986d46b354f4b3d4b08e025d972cf1d0bbe487294728074d8718cabeeed2a77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0782",
    "kind": "arxiv",
    "version": 2
  }
}