Pith Number

pith:QIOZY3T7

pith:2014:QIOZY3T72AR5XKHW2VGLYGBR7S

not attested not anchored not stored refs pending

Finding subsets of positive measure

Bj{\o}rn Kjos-Hanssen, Jan Reimann

arxiv:1408.1999 v1 · 2014-08-09 · 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{QIOZY3T72AR5XKHW2VGLYGBR7S}

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	2026-05-18T02:45:30.807848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821d9c6e7fd023dba8f6d54cbc1831fcb500aeff154aa055e03a0127a1d9e710

Aliases

arxiv: 1408.1999 · arxiv_version: 1408.1999v1 · doi: 10.48550/arxiv.1408.1999 · pith_short_12: QIOZY3T72AR5 · pith_short_16: QIOZY3T72AR5XKHW · pith_short_8: QIOZY3T7

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/QIOZY3T72AR5XKHW2VGLYGBR7S \
  | 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: 821d9c6e7fd023dba8f6d54cbc1831fcb500aeff154aa055e03a0127a1d9e710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbddbe11d55339afd865055f397a5ad0bcdead0954b7b02345816c3c09544305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-09T01:02:43Z",
    "title_canon_sha256": "a3b346a8840c3555b0e41da70c7b0c6f98c4fb093a444ed52e4d7e418917eefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1999",
    "kind": "arxiv",
    "version": 1
  }
}