Pith Number

pith:3PGXN5ES

pith:2010:3PGXN5ESXMC7R2CA3IYWT3NHUR

not attested not anchored not stored refs pending

Factorization of the Shoenfield-like bounded functional interpretation

Jaime Gaspar

arxiv:1009.1868 v1 · 2010-09-09 · 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{3PGXN5ESXMC7R2CA3IYWT3NHUR}

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	2026-05-18T04:41:06.171785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcd76f492bb05f8e840da3169eda7a46098ad6ce45de3bd6b5af025ae9f9ea4

Aliases

arxiv: 1009.1868 · arxiv_version: 1009.1868v1 · doi: 10.48550/arxiv.1009.1868 · pith_short_12: 3PGXN5ESXMC7 · pith_short_16: 3PGXN5ESXMC7R2CA · pith_short_8: 3PGXN5ES

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/3PGXN5ESXMC7R2CA3IYWT3NHUR \
  | 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: dbcd76f492bb05f8e840da3169eda7a46098ad6ce45de3bd6b5af025ae9f9ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28dcc45aa6087416f88c41724f461653ea5583fde2bb4e90540876a60dc7f56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-09T19:58:18Z",
    "title_canon_sha256": "f939b186b5f52cb9e74dbe5c772cb7f97e2b8fbfa2d36fb3342b747736b0f665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1868",
    "kind": "arxiv",
    "version": 1
  }
}