Pith Number

pith:CBCWGTBU

pith:2010:CBCWGTBUNBDL6F76OCR4Y64FIY

not attested not anchored not stored refs pending

Polish topometric groups

Alexander Berenstein, Ita\"i Ben Yaacov (ICJ), Julien Melleray (ICJ)

arxiv:1007.3367 v3 · 2010-07-20 · 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{CBCWGTBUNBDL6F76OCR4Y64FIY}

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	2026-05-18T02:59:06.894375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1045634c346846bf17fe70a3cc7b85462de35f8a011fa0ff169598dc2ee0c56f

Aliases

arxiv: 1007.3367 · arxiv_version: 1007.3367v3 · doi: 10.48550/arxiv.1007.3367 · pith_short_12: CBCWGTBUNBDL · pith_short_16: CBCWGTBUNBDL6F76 · pith_short_8: CBCWGTBU

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/CBCWGTBUNBDL6F76OCR4Y64FIY \
  | 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: 1045634c346846bf17fe70a3cc7b85462de35f8a011fa0ff169598dc2ee0c56f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54008a4372ca86d59df750ebd1db1bdf0b98fd48f93f5923b3afc84b8eb8fb3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-07-20T09:07:47Z",
    "title_canon_sha256": "b029d3e9bd02ffad14f0a4eb5c013b290a2a302ab4e5a5d662386ed51e4af06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3367",
    "kind": "arxiv",
    "version": 3
  }
}