Pith Number

pith:O4QHERAH

pith:2019:O4QHERAHIH5XW3R65MMVLDSCK6

not attested not anchored not stored refs pending

Finiteness classes arising from Ramsey-theoretic statements in set theory without choice

David Fern\'andez-Bret\'on, Joshua Brot, Mengyang Cao

arxiv:1910.11025 v6 · 2019-10-24 · 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{O4QHERAHIH5XW3R65MMVLDSCK6}

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	2026-07-05T02:19:14.559072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772072440741fb7b6e3eeb19558e4257b2019adcbb3c7dfeb9713bd917a780b7

Aliases

arxiv: 1910.11025 · arxiv_version: 1910.11025v6 · doi: 10.48550/arxiv.1910.11025 · pith_short_12: O4QHERAHIH5X · pith_short_16: O4QHERAHIH5XW3R6 · pith_short_8: O4QHERAH

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/O4QHERAHIH5XW3R65MMVLDSCK6 \
  | 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: 772072440741fb7b6e3eeb19558e4257b2019adcbb3c7dfeb9713bd917a780b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7030a48a3a440d0f3b5fab09aacd351a7f0246a90cbfb60b6fde86304383db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-10-24T10:51:14Z",
    "title_canon_sha256": "f9a579c2421a1e0181218059429fc0a33ff0450fb4a8ed108935bdc707abfbc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11025",
    "kind": "arxiv",
    "version": 6
  }
}