Pith Number

pith:CRDXX22W

pith:2011:CRDXX22WTLBULVWPBOTQJHOEXM

not attested not anchored not stored refs pending

Anti-complex sets and reducibilities with tiny use

Frank Stephan, Guohua Wu, Johanna N.Y. Franklin, Noam Greenberg

arxiv:1110.0304 v1 · 2011-10-03 · math.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{CRDXX22WTLBULVWPBOTQJHOEXM}

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	2026-05-18T04:11:50.293911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14477beb569ac345d6cf0ba7049dc4bb00ffe6051a7125a4d267d9ec7c1bbf79

Aliases

arxiv: 1110.0304 · arxiv_version: 1110.0304v1 · doi: 10.48550/arxiv.1110.0304 · pith_short_12: CRDXX22WTLBU · pith_short_16: CRDXX22WTLBULVWP · pith_short_8: CRDXX22W

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/CRDXX22WTLBULVWPBOTQJHOEXM \
  | 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: 14477beb569ac345d6cf0ba7049dc4bb00ffe6051a7125a4d267d9ec7c1bbf79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e6170e553d1f122cb4c8b5408036aa2dc0a9ba4595d2232992974217b952b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-03T09:03:41Z",
    "title_canon_sha256": "1df605780d6924f4b11537db2f62f64cef8f32e7a299c4cf4009d752ae694eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0304",
    "kind": "arxiv",
    "version": 1
  }
}