Pith Number

pith:YG4ZCB6O

pith:1999:YG4ZCB6O75QODTUBOSK7V7BCV3

not attested not anchored not stored refs pending

Sweet & Sour and other flavours of ccc forcing notions

Andrzej Roslanowski, Saharon Shelah

arxiv:math/9909115 v2 · 1999-09-20 · 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{YG4ZCB6O75QODTUBOSK7V7BCV3}

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	2026-05-18T03:37:19.318242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b99107ceff60e1ce817495fafc22aef33558345d9f97214ec0f4cde7d6b421

Aliases

arxiv: math/9909115 · arxiv_version: math/9909115v2 · doi: 10.48550/arxiv.math/9909115 · pith_short_12: YG4ZCB6O75QO · pith_short_16: YG4ZCB6O75QODTUB · pith_short_8: YG4ZCB6O

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/YG4ZCB6O75QODTUBOSK7V7BCV3 \
  | 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: c1b99107ceff60e1ce817495fafc22aef33558345d9f97214ec0f4cde7d6b421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a2ea15a27220ca648db34e3e0e1304396394d22a39a90b76c696a614a6a644",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1999-09-20T21:45:04Z",
    "title_canon_sha256": "ea366be7054889ed466b6d5018ab3e192adc92ed5c1b5a07ba39a2f1415797da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909115",
    "kind": "arxiv",
    "version": 2
  }
}