Pith Number

pith:7ILGIUOB

pith:2007:7ILGIUOBQVEST6GF3VMZAVNAFO

not attested not anchored not stored refs pending

Hilbert Spaces with Generic Predicates

Alexander Berenstein, Andr\'es Villaveces, Tapani Hyttinen

arxiv:0704.1633 v2 · 2007-04-12 · 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{7ILGIUOBQVEST6GF3VMZAVNAFO}

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	2026-05-18T00:48:21.469660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa166451c1854929f8c5dd599055a02bb6e351f24f8c432eeeae1ae12b2133ee

Aliases

arxiv: 0704.1633 · arxiv_version: 0704.1633v2 · doi: 10.48550/arxiv.0704.1633 · pith_short_12: 7ILGIUOBQVES · pith_short_16: 7ILGIUOBQVEST6GF · pith_short_8: 7ILGIUOB

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/7ILGIUOBQVEST6GF3VMZAVNAFO \
  | 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: fa166451c1854929f8c5dd599055a02bb6e351f24f8c432eeeae1ae12b2133ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594258de43a31a1b22ea29e2585dd1e9c33611909a031cdbc252089a1e906674",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2007-04-12T18:22:34Z",
    "title_canon_sha256": "0aa7bfedbabb64b5a05d9ca934a4fb2bb53110634d32fbf73a801356736b4be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1633",
    "kind": "arxiv",
    "version": 2
  }
}