Pith Number

pith:QJ3CXXSU

pith:2010:QJ3CXXSUL6BEJMZUK7FNVUC6BM

not attested not anchored not stored refs pending

Provably $\Delta^0_2$ and weakly descending chains

Toshiyasu Arai

arxiv:1005.1989 v1 · 2010-05-12 · 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{QJ3CXXSUL6BEJMZUK7FNVUC6BM}

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	2026-05-18T03:28:30.906167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82762bde545f8244b33457cadad05e0b139e4774acbe5f727b3020dac07e878a

Aliases

arxiv: 1005.1989 · arxiv_version: 1005.1989v1 · doi: 10.48550/arxiv.1005.1989 · pith_short_12: QJ3CXXSUL6BE · pith_short_16: QJ3CXXSUL6BEJMZU · pith_short_8: QJ3CXXSU

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/QJ3CXXSUL6BEJMZUK7FNVUC6BM \
  | 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: 82762bde545f8244b33457cadad05e0b139e4774acbe5f727b3020dac07e878a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6674a4f6df44aebcf36d9d473abc0366af7fe0579811dae20f73853b86cdfba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-05-12T05:11:56Z",
    "title_canon_sha256": "6614c1a4a115aed0ac98499240558263c8bcc5c0c31f26dcab96b3e855198f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1989",
    "kind": "arxiv",
    "version": 1
  }
}