Pith Number

pith:5SERJOVX

pith:2019:5SERJOVXXXAWHLQOE52M5XTORF

not attested not anchored not stored refs pending

Ultrafilters on singular cardinals of uncountable cofinality

Charles Morgan, James Cummings

arxiv:1907.11765 v1 · 2019-07-26 · 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{5SERJOVXXXAWHLQOE52M5XTORF}

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	2026-05-17T23:39:23.139162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec8914bab7bdc163ae0e2774cede6e89508793438a8875422d69ec2058ef3397

Aliases

arxiv: 1907.11765 · arxiv_version: 1907.11765v1 · doi: 10.48550/arxiv.1907.11765 · pith_short_12: 5SERJOVXXXAW · pith_short_16: 5SERJOVXXXAWHLQO · pith_short_8: 5SERJOVX

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/5SERJOVXXXAWHLQOE52M5XTORF \
  | 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: ec8914bab7bdc163ae0e2774cede6e89508793438a8875422d69ec2058ef3397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b516afb883bcd4f0ea4f35f4cb6151db4605c7f76ef799f7d976a59df17373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-07-26T19:38:20Z",
    "title_canon_sha256": "7ad32d61d003e2d887a0fb0c1bbee4717dea14e4f52cdf30b7eefea8561963c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11765",
    "kind": "arxiv",
    "version": 1
  }
}