Pith Number

pith:S5Q4WDVC

pith:1996:S5Q4WDVC6A5AVFDSM6VWFRIWYV

not attested not anchored not stored refs pending

On the cofinality of ultrapowers

Andreas Blass, Heike Mildenberger

arxiv:math/9611210 v1 · 1996-11-29 · 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{S5Q4WDVC6A5AVFDSM6VWFRIWYV}

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	2026-05-18T01:05:46.924843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9761cb0ea2f03a0a947267ab62c516c545c64b4ae87d7e406cb683956c480ff6

Aliases

arxiv: math/9611210 · arxiv_version: math/9611210v1 · doi: 10.48550/arxiv.math/9611210 · pith_short_12: S5Q4WDVC6A5A · pith_short_16: S5Q4WDVC6A5AVFDS · pith_short_8: S5Q4WDVC

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/S5Q4WDVC6A5AVFDSM6VWFRIWYV \
  | 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: 9761cb0ea2f03a0a947267ab62c516c545c64b4ae87d7e406cb683956c480ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86a7788775893cae4db9a44b6c6b8b8fe723adcc6acf3f94f45514a844d22d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1996-11-29T00:00:00Z",
    "title_canon_sha256": "83ff5a5d3e5143c6103a359154b92f32e510cd72d8733e4164fb099e54b57d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9611210",
    "kind": "arxiv",
    "version": 1
  }
}