Pith Number

pith:YGMOCEAL

pith:2004:YGMOCEALHKYFX5IHKGIXZSHJXL

not attested not anchored not stored refs pending

Universal forcing notions and ideals

Andrzej Roslanowski, Saharon Shelah

arxiv:math/0404146 v2 · 2004-04-07 · 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{YGMOCEALHKYFX5IHKGIXZSHJXL}

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	2026-05-18T03:37:19.415033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c198e1100b3ab05bf50751917cc8e9bad676446b4bbc499f09f8c571335bb53a

Aliases

arxiv: math/0404146 · arxiv_version: math/0404146v2 · doi: 10.48550/arxiv.math/0404146 · pith_short_12: YGMOCEALHKYF · pith_short_16: YGMOCEALHKYFX5IH · pith_short_8: YGMOCEAL

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/YGMOCEALHKYFX5IHKGIXZSHJXL \
  | 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: c198e1100b3ab05bf50751917cc8e9bad676446b4bbc499f09f8c571335bb53a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49efc75aec303e9ab20a0851f8fd4cedd7fa81ee41b84c84b0adab580fdc81f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2004-04-07T03:14:30Z",
    "title_canon_sha256": "4b898b49c0663796f46b9fa3298aa5dbc787e372c47991f175cd31bb04aee287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404146",
    "kind": "arxiv",
    "version": 2
  }
}