Pith Number

pith:ACOVUAXH

pith:2015:ACOVUAXHOEBUI75AS6XQPJZKRK

not attested not anchored not stored refs pending

Characterizing large cardinals in terms of layered posets

Philipp L\"ucke, Sean Cox

arxiv:1508.03831 v3 · 2015-08-16 · 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{ACOVUAXHOEBUI75AS6XQPJZKRK}

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	2026-05-18T00:59:42.301625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009d5a02e77103447fa097af07a72a8a846d1a5618b91c19af059801dedcc629

Aliases

arxiv: 1508.03831 · arxiv_version: 1508.03831v3 · doi: 10.48550/arxiv.1508.03831 · pith_short_12: ACOVUAXHOEBU · pith_short_16: ACOVUAXHOEBUI75A · pith_short_8: ACOVUAXH

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/ACOVUAXHOEBUI75AS6XQPJZKRK \
  | 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: 009d5a02e77103447fa097af07a72a8a846d1a5618b91c19af059801dedcc629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e6ba74502436f034d6906782056e449b77ee02875361c55ef811a7c32aee94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-16T14:54:47Z",
    "title_canon_sha256": "bb183af17f7fbdc314ebb2c7d1cde60c9c48fd781b5991d9ae5be68d202b197d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03831",
    "kind": "arxiv",
    "version": 3
  }
}