Pith Number

pith:ZFZNYVA7

pith:2011:ZFZNYVA7W2LDJGNXWF77H3SCF6

not attested not anchored not stored refs pending

On the Nash Equilibria in Decentralized Parallel Interference Channels

Luca Rose, M\'erouane Debbah, Samir M. Perlaza

arxiv:1106.2650 v1 · 2011-06-14 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFZNYVA7W2LDJGNXWF77H3SCF6}

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	2026-05-18T04:20:04.382628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c972dc541fb6963499b7b17ff3ee422fafb6d1756f5c306737aea4e6fcba51bc

Aliases

arxiv: 1106.2650 · arxiv_version: 1106.2650v1 · doi: 10.48550/arxiv.1106.2650 · pith_short_12: ZFZNYVA7W2LD · pith_short_16: ZFZNYVA7W2LDJGNX · pith_short_8: ZFZNYVA7

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/ZFZNYVA7W2LDJGNXWF77H3SCF6 \
  | 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: c972dc541fb6963499b7b17ff3ee422fafb6d1756f5c306737aea4e6fcba51bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2daba18bc816262501d353970946c8c986c8cbe753608707562268d0ac4b176f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-06-14T09:38:51Z",
    "title_canon_sha256": "08d2f185339f85ea05f70b10f02469c930edd46737ff87823381bc21830ad9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2650",
    "kind": "arxiv",
    "version": 1
  }
}