Pith Number

pith:WIN6ZB4B

pith:1997:WIN6ZB4BMS7YS5SIXSRJIYU4XH

not attested not anchored not stored refs pending

Stationary sets and infinitary logic

Jouko V\"a\"an\"anen, Saharon Shelah

arxiv:math/9706225 v1 · 1997-06-15 · 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{WIN6ZB4BMS7YS5SIXSRJIYU4XH}

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	2026-05-18T01:05:35.128292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21bec878164bf897648bca294629cb9d0ff355bf167e5c75077db40ffda6360

Aliases

arxiv: math/9706225 · arxiv_version: math/9706225v1 · doi: 10.48550/arxiv.math/9706225 · pith_short_12: WIN6ZB4BMS7Y · pith_short_16: WIN6ZB4BMS7YS5SI · pith_short_8: WIN6ZB4B

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/WIN6ZB4BMS7YS5SIXSRJIYU4XH \
  | 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: b21bec878164bf897648bca294629cb9d0ff355bf167e5c75077db40ffda6360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df45578559fd2badd6f0965c0b695bc8b3ba3f4064712e940888e502b34d6301",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-06-15T00:00:00Z",
    "title_canon_sha256": "0beb055cad072304375beeb4ab677d91ee5293b45311bf16acf488bbdcf92fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9706225",
    "kind": "arxiv",
    "version": 1
  }
}