Pith Number

pith:SSZDQVWQ

pith:2010:SSZDQVWQJ73P6JUTVZ5YRQ74AO

not attested not anchored not stored refs pending

Complexity classifications for different equivalence and audit problems for Boolean circuits

Elmar B\~A{\P}hler (Universit\"at W\"urzburg), Henning Schnoor (Christian-Albrechts-Universit\"at zu Kiel), Heribert Vollmer (Leibniz Universit\"at Hannover), Marseille), Matthias Galota (Elektrobit), Nadia Creignou (Universit\'e de la M\'editerran\'ee, Steffen Reith (Hochschule RheinMain, Wiesbaden)

arxiv:1009.1208 v5 · 2010-09-07 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSZDQVWQJ73P6JUTVZ5YRQ74AO}

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	2026-05-18T01:37:39.895330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b23856d04ff6ff2693ae7b88c3fc03b8e890174e038229678a7ebacc86db9e

Aliases

arxiv: 1009.1208 · arxiv_version: 1009.1208v5 · doi: 10.48550/arxiv.1009.1208 · pith_short_12: SSZDQVWQJ73P · pith_short_16: SSZDQVWQJ73P6JUT · pith_short_8: SSZDQVWQ

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/SSZDQVWQJ73P6JUTVZ5YRQ74AO \
  | 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: 94b23856d04ff6ff2693ae7b88c3fc03b8e890174e038229678a7ebacc86db9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "270487f076102fa38960563e764e859fd8adb284f7b17835a31605b5ad3a62db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-09-07T07:19:16Z",
    "title_canon_sha256": "debdb523a05a9e45b6b33461ccb96ae6117f32a2025f0198a053425c8cad36ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1208",
    "kind": "arxiv",
    "version": 5
  }
}