Pith Number

pith:2X22MM32

pith:2013:2X22MM32RQGY6WMNWOOXRQIK4K

not attested not anchored not stored refs pending

Randomness and lowness notions via open covers

Joseph S. Miller, Laurent Bienvenu

arxiv:1303.4902 v1 · 2013-03-20 · 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{2X22MM32RQGY6WMNWOOXRQIK4K}

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	2026-05-18T03:30:15.733870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f5a6337a8c0d8f598db39d78c10ae28ed457d6e93441f1699ebfc1b1b98e7b

Aliases

arxiv: 1303.4902 · arxiv_version: 1303.4902v1 · doi: 10.48550/arxiv.1303.4902 · pith_short_12: 2X22MM32RQGY · pith_short_16: 2X22MM32RQGY6WMN · pith_short_8: 2X22MM32

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/2X22MM32RQGY6WMNWOOXRQIK4K \
  | 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: d5f5a6337a8c0d8f598db39d78c10ae28ed457d6e93441f1699ebfc1b1b98e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152f281aae3f8594fabbf6be874a4f00ebd1659c794679e696b9d7639918316b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-03-20T11:07:12Z",
    "title_canon_sha256": "6f68593afdc961d95aca4e7507bde1f3d761aa3a946f5b11b7ca9f647a41f4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4902",
    "kind": "arxiv",
    "version": 1
  }
}