Pith Number

pith:K3HA3VLH

pith:2012:K3HA3VLHZSTAFPWVBAIVGIWHIQ

not attested not anchored not stored refs pending

The Complexity of Multi-Mean-Payoff and Multi-Energy Games

Alexander Rabinovich, Jean-Francois Raskin, Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger, Yaron Velner

arxiv:1209.3234 v1 · 2012-09-14 · 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{K3HA3VLHZSTAFPWVBAIVGIWHIQ}

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	2026-05-18T03:45:32.444625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ce0dd567cca602bed508115322c7440ca43bced35fc5523e41fec5a2d152ee

Aliases

arxiv: 1209.3234 · arxiv_version: 1209.3234v1 · doi: 10.48550/arxiv.1209.3234 · pith_short_12: K3HA3VLHZSTA · pith_short_16: K3HA3VLHZSTAFPWV · pith_short_8: K3HA3VLH

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/K3HA3VLHZSTAFPWVBAIVGIWHIQ \
  | 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: 56ce0dd567cca602bed508115322c7440ca43bced35fc5523e41fec5a2d152ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73dc485e9930352098f43ab08b8e15abb8a40c4731e0757d346b511bec80623f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-09-14T15:55:24Z",
    "title_canon_sha256": "344a7ead2c1e9e656d8344af5416963100db824a6b9674789c4136340fbc7acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3234",
    "kind": "arxiv",
    "version": 1
  }
}