Pith Number

pith:5ZULL5Z4

pith:2012:5ZULL5Z4DBHNW52OPVQHKELBWE

not attested not anchored not stored refs pending

Forcing consequences of PFA together with the continuum large

David Asper\'o, Miguel Angel Mota

arxiv:1203.1235 v2 · 2012-03-06 · 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{5ZULL5Z4DBHNW52OPVQHKELBWE}

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	2026-05-18T02:28:54.268211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee68b5f73c184edb774e7d60751161b11e855b5fc60b755cdfbbf77c7a3fd949

Aliases

arxiv: 1203.1235 · arxiv_version: 1203.1235v2 · doi: 10.48550/arxiv.1203.1235 · pith_short_12: 5ZULL5Z4DBHN · pith_short_16: 5ZULL5Z4DBHNW52O · pith_short_8: 5ZULL5Z4

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/5ZULL5Z4DBHNW52OPVQHKELBWE \
  | 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: ee68b5f73c184edb774e7d60751161b11e855b5fc60b755cdfbbf77c7a3fd949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654889da23a8a5bed23c4f4402d67821601b56db88c953cb8860d1d43b891a7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-03-06T15:58:10Z",
    "title_canon_sha256": "abc534b1fec983d4499c6509a0d04f8acfd6d70a37b424b9ca298d482f3637ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1235",
    "kind": "arxiv",
    "version": 2
  }
}