Pith Number

pith:P7EFHS7M

pith:2005:P7EFHS7MBBMDAAAZDXJIL2O32H

not attested not anchored not stored refs pending

The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis

Justin Tatch Moore

arxiv:math/0501527 v1 · 2005-01-28 · 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{P7EFHS7MBBMDAAAZDXJIL2O32H}

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	2026-05-18T03:11:10.142368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc853cbec08583000191dd285e9dbd1ca206acc8424a50962598aed21ba5ecf

Aliases

arxiv: math/0501527 · arxiv_version: math/0501527v1 · doi: 10.48550/arxiv.math/0501527 · pith_short_12: P7EFHS7MBBMD · pith_short_16: P7EFHS7MBBMDAAAZ · pith_short_8: P7EFHS7M

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/P7EFHS7MBBMDAAAZDXJIL2O32H \
  | 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: 7fc853cbec08583000191dd285e9dbd1ca206acc8424a50962598aed21ba5ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9ae78023419268efda4d6d9491096deb4badfb60ae6ca9d4a32bb05784f7c8f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2005-01-28T22:49:51Z",
    "title_canon_sha256": "4716331732dd01c190ff6d1ca24013a363356811b65e6789e44d707b8177a9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501527",
    "kind": "arxiv",
    "version": 1
  }
}