Pith Number

pith:CXABWMB2

pith:2023:CXABWMB2OBSPOZGQLPGAVBT3BR

not attested not anchored not stored refs pending

$\widetilde{\mid}\hspace{1mm}$-divisibility of ultrafilters II: The big picture

Boris \v{S}obot

arxiv:2306.00101 v4 · 2023-05-31 · 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{CXABWMB2OBSPOZGQLPGAVBT3BR}

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	2026-07-05T09:01:24.479193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c01b303a7064f764d05bcc0a867b0c77f18344fddab00891bae1fb56061931

Aliases

arxiv: 2306.00101 · arxiv_version: 2306.00101v4 · doi: 10.48550/arxiv.2306.00101 · pith_short_12: CXABWMB2OBSP · pith_short_16: CXABWMB2OBSPOZGQ · pith_short_8: CXABWMB2

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/CXABWMB2OBSPOZGQLPGAVBT3BR \
  | 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: 15c01b303a7064f764d05bcc0a867b0c77f18344fddab00891bae1fb56061931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072116ec277871749eb4dfdd9b1a925db4eccc40ad82d3042795120760a5ce5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-05-31T18:23:27Z",
    "title_canon_sha256": "d7176fd1ae76a7a956a3607c8b3efc463866f745fe0bb65fdd0c14be3e8b6cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.00101",
    "kind": "arxiv",
    "version": 4
  }
}