Pith Number

pith:OT252EPO

pith:2012:OT252EPOQ5Y3HXNEKXTH2ORPDL

not attested not anchored not stored refs pending

Some results on large cardinals and the continuum function

Brent Cody

arxiv:1209.1136 v1 · 2012-09-05 · 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{OT252EPOQ5Y3HXNEKXTH2ORPDL}

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	2026-05-18T03:46:06.428878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f5dd11ee8771b3dda455e67d3a2f1afc40fe5fb23538182899357541080a3d

Aliases

arxiv: 1209.1136 · arxiv_version: 1209.1136v1 · doi: 10.48550/arxiv.1209.1136 · pith_short_12: OT252EPOQ5Y3 · pith_short_16: OT252EPOQ5Y3HXNE · pith_short_8: OT252EPO

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/OT252EPOQ5Y3HXNEKXTH2ORPDL \
  | 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: 74f5dd11ee8771b3dda455e67d3a2f1afc40fe5fb23538182899357541080a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fccbdf942c4720703f4c4de5eb933e98e1b6e116ed8c5a264b37e9a5d7d94b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-05T22:39:37Z",
    "title_canon_sha256": "5b3a7c012e06557ba3659fccd0c2bd72beef1da5fc000bd409a87e595ee8aab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1136",
    "kind": "arxiv",
    "version": 1
  }
}