Pith Number

pith:L2W5IVEU

pith:1997:L2W5IVEUDMAHPBRFPXDTBVYMIW

not attested not anchored not stored refs pending

Norms on possibilities II: more ccc ideals on 2^{omega}

Andrzej Ros{\l}anowski, Saharon Shelah

arxiv:math/9703222 v1 · 1997-03-15 · 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{L2W5IVEUDMAHPBRFPXDTBVYMIW}

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	2026-05-18T01:05:37.017334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eadd454941b007786257dc730d70c4581da282cdbfa29877a01131866222cdc

Aliases

arxiv: math/9703222 · arxiv_version: math/9703222v1 · doi: 10.48550/arxiv.math/9703222 · pith_short_12: L2W5IVEUDMAH · pith_short_16: L2W5IVEUDMAHPBRF · pith_short_8: L2W5IVEU

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/L2W5IVEUDMAHPBRFPXDTBVYMIW \
  | 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: 5eadd454941b007786257dc730d70c4581da282cdbfa29877a01131866222cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25360dcd48137842128a27d2d7bcb0732c6cca0f1ae5c2a5fd063cfa0e377fb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-03-15T00:00:00Z",
    "title_canon_sha256": "f9a5cb8751d2046d52598a1e8e57d9ec1c0f54b3cc6f57757a815412f8c237db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9703222",
    "kind": "arxiv",
    "version": 1
  }
}