Pith Number

pith:ZYY6OPEO

pith:2015:ZYY6OPEOC6RNIOH6JG7AT4SDFX

not attested not anchored not stored refs pending

Dynamic Potential Games in Communications: Fundamentals and Applications

Javier Zazo, Matilde S\'anchez-Fern\'andez, Santiago Zazo, Sergio Valcarcel Macua

arxiv:1509.01313 v2 · 2015-09-04 · cs.SY · cs.GT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYY6OPEOC6RNIOH6JG7AT4SDFX}

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	2026-05-18T01:23:44.512917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce31e73c8e17a2d438fe49be09f2432ddc1d0c5398f1c6fef3446333e5492012

Aliases

arxiv: 1509.01313 · arxiv_version: 1509.01313v2 · doi: 10.48550/arxiv.1509.01313 · pith_short_12: ZYY6OPEOC6RN · pith_short_16: ZYY6OPEOC6RNIOH6 · pith_short_8: ZYY6OPEO

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/ZYY6OPEOC6RNIOH6JG7AT4SDFX \
  | 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: ce31e73c8e17a2d438fe49be09f2432ddc1d0c5398f1c6fef3446333e5492012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cce5fd35307b8e2d2537bd162fa6d4d39f972175bee5da177768e62031134a",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-09-04T00:25:07Z",
    "title_canon_sha256": "5778bf581bfdd9d81b524345aa9a13b6c2f17f62ec00606c09534b6dabba0758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01313",
    "kind": "arxiv",
    "version": 2
  }
}