Pith Number

pith:S5ETWZVC

pith:2015:S5ETWZVCXJID3OUNSH645CTQ3C

not attested not anchored not stored refs pending

Average-energy games (full version)

Kim G. Larsen, Mickael Randour, Nicolas Markey, Patricia Bouyer, Simon Laursen

arxiv:1512.08106 v3 · 2015-12-26 · cs.LO · cs.FL · 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{S5ETWZVCXJID3OUNSH645CTQ3C}

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	2026-05-18T01:11:21.584521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97493b66a2ba503dba8d91fdce8a70d8b325e4f469c536e0162dbb7b74329045

Aliases

arxiv: 1512.08106 · arxiv_version: 1512.08106v3 · doi: 10.48550/arxiv.1512.08106 · pith_short_12: S5ETWZVCXJID · pith_short_16: S5ETWZVCXJID3OUN · pith_short_8: S5ETWZVC

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/S5ETWZVCXJID3OUNSH645CTQ3C \
  | 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: 97493b66a2ba503dba8d91fdce8a70d8b325e4f469c536e0162dbb7b74329045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22832fceda68ea91d34e0b083e42e9a83cf30bedb6a4abecf44054fb32fa808",
    "cross_cats_sorted": [
      "cs.FL",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-12-26T12:52:44Z",
    "title_canon_sha256": "0416f2dd44c9997496456a5d1be57dd49410d1aa821d8e789e3b119a9ed93e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08106",
    "kind": "arxiv",
    "version": 3
  }
}