Pith Number

pith:GMBBPKQ3

pith:2008:GMBBPKQ3ZOZMHQ7J6IV4Z4EF2R

not attested not anchored not stored refs pending

Throughput-Delay Trade-off for Hierarchical Cooperation in Ad Hoc Wireless Networks

Ayfer Ozgur, Olivier Leveque

arxiv:0802.2013 v2 · 2008-02-14 · 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{GMBBPKQ3ZOZMHQ7J6IV4Z4EF2R}

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	2026-05-18T00:58:25.750777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330217aa1bcbb2c3c3e9f22bccf085d469adb5c06b1271d0e7dd856747ccf985

Aliases

arxiv: 0802.2013 · arxiv_version: 0802.2013v2 · doi: 10.48550/arxiv.0802.2013 · pith_short_12: GMBBPKQ3ZOZM · pith_short_16: GMBBPKQ3ZOZMHQ7J · pith_short_8: GMBBPKQ3

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/GMBBPKQ3ZOZMHQ7J6IV4Z4EF2R \
  | 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: 330217aa1bcbb2c3c3e9f22bccf085d469adb5c06b1271d0e7dd856747ccf985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d795878ffca3c3d19afadb621faec0d47569d10045da5cb78ee862e148bf920",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-02-14T14:09:59Z",
    "title_canon_sha256": "833b1a98bd8093a387f08d5414358515b37bb498e581ae2266b2359b8f976aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2013",
    "kind": "arxiv",
    "version": 2
  }
}