Pith Number

pith:WDSQ4H6K

pith:2010:WDSQ4H6KR4B55FKS7Q6WOSQ5M2

not attested not anchored not stored refs pending

Remarks on nonmeasurable unions of big point families

Robert Ralowski

arxiv:1001.0549 v1 · 2010-01-04 · math.GN · 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{WDSQ4H6KR4B55FKS7Q6WOSQ5M2}

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	2026-05-18T04:41:25.097599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e50e1fca8f03de9552fc3d674a1d669ba8649c40c2d07a6a942428e2a91521

Aliases

arxiv: 1001.0549 · arxiv_version: 1001.0549v1 · doi: 10.48550/arxiv.1001.0549 · pith_short_12: WDSQ4H6KR4B5 · pith_short_16: WDSQ4H6KR4B55FKS · pith_short_8: WDSQ4H6K

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/WDSQ4H6KR4B55FKS7Q6WOSQ5M2 \
  | 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: b0e50e1fca8f03de9552fc3d674a1d669ba8649c40c2d07a6a942428e2a91521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fefe259f4c4b1285ecf49754f05e0ae1356cabfdaa99a37046c2a13bddfa5230",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-01-04T19:18:45Z",
    "title_canon_sha256": "3dff7e9b8a5c74606effd57b1c21a23023da515c9b7bb1c706452ab2f01b8c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0549",
    "kind": "arxiv",
    "version": 1
  }
}