Pith Number

pith:AEHGRXCS

pith:1992:AEHGRXCSLCJ4DJHXB4VD5T23XO

not attested not anchored not stored refs pending

Maximal Chains in {}^\omega\omega and Ultrapowers of the Integers

Juris Stepr\=ans, Saharon Shelah

arxiv:math/9204205 v1 · 1992-04-13 · 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{AEHGRXCSLCJ4DJHXB4VD5T23XO}

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	2026-05-18T01:05:52.949375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

010e68dc525893c1a4f70f2a3ecf5bbb9c862db27ca0e7095f9965dcedb0da73

Aliases

arxiv: math/9204205 · arxiv_version: math/9204205v1 · doi: 10.48550/arxiv.math/9204205 · pith_short_12: AEHGRXCSLCJ4 · pith_short_16: AEHGRXCSLCJ4DJHX · pith_short_8: AEHGRXCS

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/AEHGRXCSLCJ4DJHXB4VD5T23XO \
  | 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: 010e68dc525893c1a4f70f2a3ecf5bbb9c862db27ca0e7095f9965dcedb0da73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02439a2f53ea162b4066484ef95311f2ec1b725a478aae59904e31fa95a0ca08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1992-04-13T00:00:00Z",
    "title_canon_sha256": "27eea6f973196a1578d119a1f6f508945cc333786c5f84d4634e0d9445735e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9204205",
    "kind": "arxiv",
    "version": 1
  }
}