Pith Number

pith:37ZOFDAX

pith:2017:37ZOFDAXZBLJCJM6XIIJA5EVDI

not attested not anchored not stored refs pending

A parametrized diamond principle and union ultrafilters

David Fern\'andez-Bret\'on, Michael Hru\v{s}\'ak

arxiv:1706.00830 v2 · 2017-06-02 · 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{37ZOFDAXZBLJCJM6XIIJA5EVDI}

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	2026-05-18T00:08:27.316351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff2e28c17c85691259eba109074951a3a2633cbbf14314f4950e2b5e7c9a2f7

Aliases

arxiv: 1706.00830 · arxiv_version: 1706.00830v2 · doi: 10.48550/arxiv.1706.00830 · pith_short_12: 37ZOFDAXZBLJ · pith_short_16: 37ZOFDAXZBLJCJM6 · pith_short_8: 37ZOFDAX

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/37ZOFDAXZBLJCJM6XIIJA5EVDI \
  | 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: dff2e28c17c85691259eba109074951a3a2633cbbf14314f4950e2b5e7c9a2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d89082c4a1616ee18a1f7afa42db4e4cc8c170d37dd7679edaa8828e44e022",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-02T19:54:08Z",
    "title_canon_sha256": "9de72dfbadeaa76d73f7b3bbd81e73facab771aa93116d8de39a364bb5cb0e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00830",
    "kind": "arxiv",
    "version": 2
  }
}