Pith Number

pith:2NJXWOYQ

pith:2016:2NJXWOYQ2TIZ4OU6DCO5Z2ABDA

not attested not anchored not stored refs pending

On $\alpha$-largeness and the Paris-Harrington principle in $\mathrm{RCA}_0$ and $\mathrm{RCA}_0^{\displaystyle{*}}$

Florian Pelupessy

arxiv:1611.08988 v4 · 2016-11-28 · 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{2NJXWOYQ2TIZ4OU6DCO5Z2ABDA}

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	2026-05-18T00:10:47.987389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3537b3b10d4d19e3a9e189ddce801182de84271e8d71d97251805d3ceab5a2f

Aliases

arxiv: 1611.08988 · arxiv_version: 1611.08988v4 · doi: 10.48550/arxiv.1611.08988 · pith_short_12: 2NJXWOYQ2TIZ · pith_short_16: 2NJXWOYQ2TIZ4OU6 · pith_short_8: 2NJXWOYQ

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/2NJXWOYQ2TIZ4OU6DCO5Z2ABDA \
  | 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: d3537b3b10d4d19e3a9e189ddce801182de84271e8d71d97251805d3ceab5a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2836a50b5dc846fe6ce85326d6e30bbd431fbe18e58b5c608d3b4a8745737b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-11-28T05:37:12Z",
    "title_canon_sha256": "920a0b4e878f3852e818c3beacac755623349740c42d26311a551405c5cf9066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08988",
    "kind": "arxiv",
    "version": 4
  }
}