Pith Number

pith:FVFRBRID

pith:1998:FVFRBRID4B7RLVL6SFW5XVC7XG

not attested not anchored not stored refs pending

Separating complexity classes using autoreducibility

Dieter van Melkebeek (University of Chicago), Harry Buhrman (CWI), Lance Fortnow (University of Chicago), Leen Torenvliet (University of Amsterdam)

arxiv:math/9807185 v1 · 1998-07-01 · 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{FVFRBRID4B7RLVL6SFW5XVC7XG}

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	2026-05-18T01:05:33.829523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d4b10c503e07f15d57e916ddbd45fb9a18cf3c5cd30fc8ac902f215d27f33de

Aliases

arxiv: math/9807185 · arxiv_version: math/9807185v1 · doi: 10.48550/arxiv.math/9807185 · pith_short_12: FVFRBRID4B7R · pith_short_16: FVFRBRID4B7RLVL6 · pith_short_8: FVFRBRID

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/FVFRBRID4B7RLVL6SFW5XVC7XG \
  | 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: 2d4b10c503e07f15d57e916ddbd45fb9a18cf3c5cd30fc8ac902f215d27f33de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9746d00a5f1ba6cfa14c37488668c623fee01cd8add05739a7ed75f72bba7145",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1998-07-01T00:00:00Z",
    "title_canon_sha256": "c920b2172f217a88f8832962ead899aec9ef8749268929a045d5132b5d18c8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807185",
    "kind": "arxiv",
    "version": 1
  }
}