Pith Number

pith:ATCOG4DB

pith:2008:ATCOG4DBSNZYSQQQACWUYC6REI

not attested not anchored not stored refs pending

Large cardinals and gap-1 morasses

Andrew D. Brooke-Taylor, Sy-David Friedman

arxiv:0801.1912 v1 · 2008-01-12 · 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{ATCOG4DBSNZYSQQQACWUYC6REI}

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	2026-05-18T04:01:36.526026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c4e37061937389421000ad4c0bd12209da1e1fd8181ac7dedde4c5aaaedc8b

Aliases

arxiv: 0801.1912 · arxiv_version: 0801.1912v1 · doi: 10.48550/arxiv.0801.1912 · pith_short_12: ATCOG4DBSNZY · pith_short_16: ATCOG4DBSNZYSQQQ · pith_short_8: ATCOG4DB

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/ATCOG4DBSNZYSQQQACWUYC6REI \
  | 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: 04c4e37061937389421000ad4c0bd12209da1e1fd8181ac7dedde4c5aaaedc8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1fdb053845384d3079a638c8c497c67695a7cdf688707f5d72581ee39afc24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2008-01-12T18:04:52Z",
    "title_canon_sha256": "50232045518da2c22ba6685e893ac8f2c0038cc658fc106f5bed2ae26e376936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1912",
    "kind": "arxiv",
    "version": 1
  }
}