Pith Number

pith:JBJJKFSG

pith:2013:JBJJKFSGKWY2BIOMJ2QEETVJTL

not attested not anchored not stored refs pending

Analytic equivalence relations satisfying hyperarithmetic-is-recursive

Antonio Montalb\'an

arxiv:1306.1513 v2 · 2013-06-06 · 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{JBJJKFSGKWY2BIOMJ2QEETVJTL}

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	2026-05-18T03:21:11.424471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

485295164655b1a0a1cc4ea0424ea99ad88d55f7d152b1a8a9722d56da1f8109

Aliases

arxiv: 1306.1513 · arxiv_version: 1306.1513v2 · doi: 10.48550/arxiv.1306.1513 · pith_short_12: JBJJKFSGKWY2 · pith_short_16: JBJJKFSGKWY2BIOM · pith_short_8: JBJJKFSG

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/JBJJKFSGKWY2BIOMJ2QEETVJTL \
  | 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: 485295164655b1a0a1cc4ea0424ea99ad88d55f7d152b1a8a9722d56da1f8109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a3d89fe6c2ff470b809256158a874c14f79c7e634bfb7b409ad3065af0fed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-06T19:10:07Z",
    "title_canon_sha256": "b8e60380663989e5ff6a82eea76bcd2f1010e0222d1cab523448c6596946bc29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1513",
    "kind": "arxiv",
    "version": 2
  }
}