Pith Number

pith:GZFPASC4

pith:2012:GZFPASC4O3XXGIPBUJZWKASKHF

not attested not anchored not stored refs pending

A Fragment of Dependence Logic Capturing Polynomial Time

Heribert Vollmer (Leibniz Universit\"at Hannover), Johannes Ebbing (Leibniz Universit\"at Hannover), Juha Kontinen (University of Helsinki), Julian-Steffen M\"uller (Leibniz Universit\"at Hannover)

arxiv:1210.3321 v5 · 2012-10-11 · cs.LO · 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{GZFPASC4O3XXGIPBUJZWKASKHF}

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	2026-05-18T01:37:38.411878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364af0485c76ef7321e1a27365024a3974dd94d14108e72b1dd12bd58a0e066a

Aliases

arxiv: 1210.3321 · arxiv_version: 1210.3321v5 · doi: 10.48550/arxiv.1210.3321 · pith_short_12: GZFPASC4O3XX · pith_short_16: GZFPASC4O3XXGIPB · pith_short_8: GZFPASC4

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/GZFPASC4O3XXGIPBUJZWKASKHF \
  | 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: 364af0485c76ef7321e1a27365024a3974dd94d14108e72b1dd12bd58a0e066a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea9473107d0ebc540fc90a4651331a1384287b22fdac047d986058271a167e9",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-10-11T19:07:45Z",
    "title_canon_sha256": "7366c93c1e22e5fd1c3e724e509f32c4f1e4be8dae80a91805f4b671a9e86925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3321",
    "kind": "arxiv",
    "version": 5
  }
}