Pith Number

pith:T4ZU4D2W

pith:2010:T4ZU4D2WFV6ZPUVQKUXJ4JEVBP

not attested not anchored not stored refs pending

A Note on Nonuniform versus Uniform ACC^k Circuits for NE

Lane A. Hemaspaandra

arxiv:1012.0556 v2 · 2010-12-02 · 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{T4ZU4D2WFV6ZPUVQKUXJ4JEVBP}

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	2026-05-18T04:34:09.704872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f334e0f562d7d97d2b0552e9e24950bd4f302641607837796528516151f8bc6

Aliases

arxiv: 1012.0556 · arxiv_version: 1012.0556v2 · doi: 10.48550/arxiv.1012.0556 · pith_short_12: T4ZU4D2WFV6Z · pith_short_16: T4ZU4D2WFV6ZPUVQ · pith_short_8: T4ZU4D2W

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/T4ZU4D2WFV6ZPUVQKUXJ4JEVBP \
  | 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: 9f334e0f562d7d97d2b0552e9e24950bd4f302641607837796528516151f8bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ab582ac92fa9f2a6b12a25f9775dbc42c576850029821d69a3b84f6e8a3645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-12-02T20:01:54Z",
    "title_canon_sha256": "12faa1e601a90fda28deeaf765abb6ebe2d93f63faaf52ad250a5aaf43500ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0556",
    "kind": "arxiv",
    "version": 2
  }
}