Pith Number

pith:GQGIRAW6

pith:2010:GQGIRAW6Q5BWAZE66AZT75PFDP

not attested not anchored not stored refs pending

Mean-payoff Automaton Expressions

Herbert Edelsbrunner, Krishnendu Chatterjee, Laurent Doyen, Philippe Rannou, Thomas A. Henzinger

arxiv:1006.1492 v1 · 2010-06-08 · 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{GQGIRAW6Q5BWAZE66AZT75PFDP}

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	2026-05-18T02:06:56.248934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340c8882de874360649ef0333ff5e51be76e3a8201fdb48a481b7e181888eb86

Aliases

arxiv: 1006.1492 · arxiv_version: 1006.1492v1 · doi: 10.48550/arxiv.1006.1492 · pith_short_12: GQGIRAW6Q5BW · pith_short_16: GQGIRAW6Q5BWAZE6 · pith_short_8: GQGIRAW6

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/GQGIRAW6Q5BWAZE66AZT75PFDP \
  | 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: 340c8882de874360649ef0333ff5e51be76e3a8201fdb48a481b7e181888eb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f2f5c490de72d2ff468a54ad1dab2f53ae57c6d8470f7b5d090a495c3bbe4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-06-08T09:11:28Z",
    "title_canon_sha256": "9710bb647422bcb91233d9a47951479a157f58d2679823d28591ad825e858127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1492",
    "kind": "arxiv",
    "version": 1
  }
}