Pith Number

pith:XNHLNNBB

pith:2015:XNHLNNBBSJNPGXAEVIN4YTHLSB

not attested not anchored not stored refs pending

Divisibility orders in $\beta N$

Boris \v{S}obot

arxiv:1511.01731 v2 · 2015-11-05 · 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{XNHLNNBBSJNPGXAEVIN4YTHLSB}

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.

Cited by

1 paper in Pith

Weak, strong and mixed extensions of relations to spaces of ultrafilters

Receipt and verification

First computed	2026-05-18T01:14:44.739121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4eb6b421925af35c04aa1bcc4ceb9048d7d23fadb4aa87a3c5116c267623ec

Aliases

arxiv: 1511.01731 · arxiv_version: 1511.01731v2 · doi: 10.48550/arxiv.1511.01731 · pith_short_12: XNHLNNBBSJNP · pith_short_16: XNHLNNBBSJNPGXAE · pith_short_8: XNHLNNBB

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/XNHLNNBBSJNPGXAEVIN4YTHLSB \
  | 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: bb4eb6b421925af35c04aa1bcc4ceb9048d7d23fadb4aa87a3c5116c267623ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b07a6a13745e0c5648e1fc8272ea4269047fd720a88a988fbe96b2ba1ee1a39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-05T13:19:33Z",
    "title_canon_sha256": "130744a1d9502e31399dff32257ac81214e74481ad07026af7dec65c5ebdbc1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01731",
    "kind": "arxiv",
    "version": 2
  }
}