Pith Number

pith:6W3WJ26R

pith:2013:6W3WJ26R6JHOIJYVJ3AWD3E65G

not attested not anchored not stored refs pending

Iterated hyper-extensions and an idempotent ultrafilter proof of Rado's theorem

Mauro Di Nasso

arxiv:1304.3009 v2 · 2013-04-10 · 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{6W3WJ26R6JHOIJYVJ3AWD3E65G}

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	2026-05-18T03:14:39.130076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b764ebd1f24ee427154ec161ec9ee9a92efb7ccfdd936f57a711e469cfacb8

Aliases

arxiv: 1304.3009 · arxiv_version: 1304.3009v2 · doi: 10.48550/arxiv.1304.3009 · pith_short_12: 6W3WJ26R6JHO · pith_short_16: 6W3WJ26R6JHOIJYV · pith_short_8: 6W3WJ26R

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/6W3WJ26R6JHOIJYVJ3AWD3E65G \
  | 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: f5b764ebd1f24ee427154ec161ec9ee9a92efb7ccfdd936f57a711e469cfacb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ab89b67bd7258739cd8b3dd87b46f01f8a0bf0eb1865026f9ae6b42401f88b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-04-10T16:03:12Z",
    "title_canon_sha256": "afbbb3cc7075f1f7f374341352096309341e834dee6b953c4c0be2cd56267977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3009",
    "kind": "arxiv",
    "version": 2
  }
}