Pith Number

pith:UODGJZJZ

pith:2012:UODGJZJZPHT6U4AU3EAVFYD7ME

not attested not anchored not stored refs pending

Relativizing Small Complexity Classes and their Theories

Klaus Aehlig, Phuong Nguyen, Stephen Cook

arxiv:1204.5508 v1 · 2012-04-24 · 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{UODGJZJZPHT6U4AU3EAVFYD7ME}

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	2026-05-18T03:57:02.230187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a38664e53979e7ea7014d90152e07f6132c8edd4122c49508be1833bea0fa7fd

Aliases

arxiv: 1204.5508 · arxiv_version: 1204.5508v1 · doi: 10.48550/arxiv.1204.5508 · pith_short_12: UODGJZJZPHT6 · pith_short_16: UODGJZJZPHT6U4AU · pith_short_8: UODGJZJZ

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/UODGJZJZPHT6U4AU3EAVFYD7ME \
  | 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: a38664e53979e7ea7014d90152e07f6132c8edd4122c49508be1833bea0fa7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079af83ee7849fb5a272af6041a0acb88070bfde470a18a348a3dcac116cf403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-04-24T22:44:53Z",
    "title_canon_sha256": "b9fd65151d8bfd8c39004e2f81e11e70dcffa7dfc5a0973df5c677b3acd2e359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5508",
    "kind": "arxiv",
    "version": 1
  }
}