Pith Number

pith:63FITZRC

pith:2004:63FITZRC24CDWDBB2A4CHSC2GL

not attested not anchored not stored refs pending

Comparing the uniformity invariants of null sets for different measures

Juris Stepr\=ans, Saharon Shelah

arxiv:math/0405092 v1 · 2004-05-06 · 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{63FITZRC24CDWDBB2A4CHSC2GL}

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	2026-05-18T01:08:51.591469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ca89e622d7043b0c21d03823c85a32f9fddde25eacb39158d8bfadae2c1294

Aliases

arxiv: math/0405092 · arxiv_version: math/0405092v1 · doi: 10.48550/arxiv.math/0405092 · pith_short_12: 63FITZRC24CD · pith_short_16: 63FITZRC24CDWDBB · pith_short_8: 63FITZRC

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/63FITZRC24CDWDBB2A4CHSC2GL \
  | 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: f6ca89e622d7043b0c21d03823c85a32f9fddde25eacb39158d8bfadae2c1294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beebbcb2b57a0c9faa4f9b68449c102e42b0105a408bf5cab6c6c0ef6fd22fc6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2004-05-06T03:22:49Z",
    "title_canon_sha256": "46e34ad21e7f439558649a6e647e4bc9ed27c4fe02ee389fbf7b5477ca5cd041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405092",
    "kind": "arxiv",
    "version": 1
  }
}