Pith Number

pith:PSZTIYEI

pith:2010:PSZTIYEIWZO5BV7ZI7BTLUEBZE

not attested not anchored not stored refs pending

Power Control with Imperfect Exchanges and Applications to Spectrum Sharing

Georgios B. Giannakis, Nikolaos Gatsis

arxiv:1008.3940 v1 · 2010-08-24 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSZTIYEIWZO5BV7ZI7BTLUEBZE}

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	2026-05-18T02:05:43.535369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb3346088b65dd0d7f947c335d081c9080e4e855b58760732b47e3160cade58

Aliases

arxiv: 1008.3940 · arxiv_version: 1008.3940v1 · doi: 10.48550/arxiv.1008.3940 · pith_short_12: PSZTIYEIWZO5 · pith_short_16: PSZTIYEIWZO5BV7Z · pith_short_8: PSZTIYEI

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/PSZTIYEIWZO5BV7ZI7BTLUEBZE \
  | 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: 7cb3346088b65dd0d7f947c335d081c9080e4e855b58760732b47e3160cade58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9cd4c13cb652af7450f5b19885043f63585e8f688cd39ddac2d57c2d7b4763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2010-08-24T00:10:05Z",
    "title_canon_sha256": "90ca73d82497d3b66aef90ea1b8a8e9b3b1a921edc838c5a0f875746ab258f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3940",
    "kind": "arxiv",
    "version": 1
  }
}