Pith Number

pith:HKX2OSKV

pith:2012:HKX2OSKVQYM63HLC6IPC2XN65C

not attested not anchored not stored refs pending

Higher Order Game Dynamics

Panayotis Mertikopoulos, Rida Laraki

arxiv:1206.4181 v2 · 2012-06-19 · math.OC · cs.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKX2OSKVQYM63HLC6IPC2XN65C}

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	2026-05-18T03:17:12.038342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aafa749558619ed9d62f21e2d5dbee88383dcdd8267f76d45837be3ec8043b3

Aliases

arxiv: 1206.4181 · arxiv_version: 1206.4181v2 · doi: 10.48550/arxiv.1206.4181 · pith_short_12: HKX2OSKVQYM6 · pith_short_16: HKX2OSKVQYM63HLC · pith_short_8: HKX2OSKV

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/HKX2OSKVQYM63HLC6IPC2XN65C \
  | 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: 3aafa749558619ed9d62f21e2d5dbee88383dcdd8267f76d45837be3ec8043b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ca2e24a4bec03ed9e14d9d2cd47f8d266981d055f9480bf97765e36f643366",
    "cross_cats_sorted": [
      "cs.GT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-19T11:40:55Z",
    "title_canon_sha256": "461a4cc42e0a0adf530aec546a7dcf9fb72c87c2eb7570f9eaf19c6058a7426b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4181",
    "kind": "arxiv",
    "version": 2
  }
}