Pith Number

pith:435X2SQE

pith:2013:435X2SQEAHXDBDBTIIZLSLWT6A

not attested not anchored not stored refs pending

On Borel hull operations

Andrzej Roslanowski, Saharon Shelah, Tomasz Filipczak

arxiv:1308.3749 v3 · 2013-08-17 · 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{435X2SQEAHXDBDBTIIZLSLWT6A}

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	2026-05-18T02:53:41.232849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6fb7d4a0401ee308c334232b92ed3f0323db1b01462bfdfcbcdd9d7926118dc

Aliases

arxiv: 1308.3749 · arxiv_version: 1308.3749v3 · doi: 10.48550/arxiv.1308.3749 · pith_short_12: 435X2SQEAHXD · pith_short_16: 435X2SQEAHXDBDBT · pith_short_8: 435X2SQE

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/435X2SQEAHXDBDBTIIZLSLWT6A \
  | 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: e6fb7d4a0401ee308c334232b92ed3f0323db1b01462bfdfcbcdd9d7926118dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf07d97d8ce9ed818371ec2961eaed3dd178dcfa46cdb0da0e59205dd126d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-17T03:55:38Z",
    "title_canon_sha256": "d8858bd8b9ba22d82668e55af401977e8f9baa49ab35eaa331c0e62b5211d0c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3749",
    "kind": "arxiv",
    "version": 3
  }
}