Pith Number

pith:FR7RHCRN

pith:1993:FR7RHCRNK6E6K2WLYITLLWE2DG

not attested not anchored not stored refs pending

Consequences of arithmetic for set theory

Lorenz Halbeisen, Saharon Shelah

arxiv:math/9308220 v1 · 1993-08-15 · 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{FR7RHCRNK6E6K2WLYITLLWE2DG}

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	2026-05-18T01:05:51.949009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7f138a2d5789e56acbc226b5d89a1983e5beffc808db287afd90031c5de4a5

Aliases

arxiv: math/9308220 · arxiv_version: math/9308220v1 · doi: 10.48550/arxiv.math/9308220 · pith_short_12: FR7RHCRNK6E6 · pith_short_16: FR7RHCRNK6E6K2WL · pith_short_8: FR7RHCRN

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/FR7RHCRNK6E6K2WLYITLLWE2DG \
  | 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: 2c7f138a2d5789e56acbc226b5d89a1983e5beffc808db287afd90031c5de4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492c96cc429369e1c7fc40ce1f5628b3cde1ca84fde351ab652f5780fc7e2eb1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1993-08-15T00:00:00Z",
    "title_canon_sha256": "0d5234fc0becc4a2a6a27798f6e4399d602cab491007c1d3c29922dc03fbab8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9308220",
    "kind": "arxiv",
    "version": 1
  }
}