Pith Number

pith:B7XNYJBE

pith:2012:B7XNYJBEMEJ43WKZE7XIYQZ27I

not attested not anchored not stored refs pending

The generic ultrafilter added by ${(\FIN \times \FIN)}^{+}$

Dilip Raghavan

arxiv:1210.7387 v1 · 2012-10-28 · 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{B7XNYJBEMEJ43WKZE7XIYQZ27I}

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	2026-05-18T03:42:10.218148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0feedc24246113cdd95927ee8c433afa037db8d34f26e85cffe18f50604fde8a

Aliases

arxiv: 1210.7387 · arxiv_version: 1210.7387v1 · doi: 10.48550/arxiv.1210.7387 · pith_short_12: B7XNYJBEMEJ4 · pith_short_16: B7XNYJBEMEJ43WKZ · pith_short_8: B7XNYJBE

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/B7XNYJBEMEJ43WKZE7XIYQZ27I \
  | 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: 0feedc24246113cdd95927ee8c433afa037db8d34f26e85cffe18f50604fde8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d296281393f7ed09656ab674771a941e1da57b3aac28b250285ab501986d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-28T00:59:41Z",
    "title_canon_sha256": "cd0d0c4807d55f3bb26d23a81559b0f7f670870b7009299007958f455b1267e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7387",
    "kind": "arxiv",
    "version": 1
  }
}