Pith Number

pith:7RMMPDM6

pith:2012:7RMMPDM6UALY5XELVJFBJ3KEAO

not attested not anchored not stored refs pending

Hyperplane Separation Technique for Multidimensional Mean-Payoff Games

Krishnendu Chatterjee, Yaron Velner

arxiv:1210.3141 v2 · 2012-10-11 · cs.GT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RMMPDM6UALY5XELVJFBJ3KEAO}

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	2026-05-18T03:16:29.070937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc58c78d9ea0178edc8baa4a14ed44039db0132414684d8c01d127c606b57035

Aliases

arxiv: 1210.3141 · arxiv_version: 1210.3141v2 · doi: 10.48550/arxiv.1210.3141 · pith_short_12: 7RMMPDM6UALY · pith_short_16: 7RMMPDM6UALY5XEL · pith_short_8: 7RMMPDM6

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/7RMMPDM6UALY5XELVJFBJ3KEAO \
  | 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: fc58c78d9ea0178edc8baa4a14ed44039db0132414684d8c01d127c606b57035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c31f9a8bb935e965aec4c7063ae0176288a1c677e12c00a35e01edef39deac",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-10-11T06:47:23Z",
    "title_canon_sha256": "e21fe98166f125643d5e0b2da4b21493f624ef3078cd6cceb59b620c9d5ebd70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3141",
    "kind": "arxiv",
    "version": 2
  }
}