Pith Number

pith:OJKZ3FQO

pith:2010:OJKZ3FQOJVBWJPOS6RJW6SP6XZ

not attested not anchored not stored refs pending

Generalized uniform covering maps relative to subgroups

B. Labuz

arxiv:1008.0318 v1 · 2010-08-02 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJKZ3FQOJVBWJPOS6RJW6SP6XZ}

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	2026-05-18T02:55:18.881368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72559d960e4d4364bdd2f4536f49febe5beb7f9c6c94d44b14afe875b355690b

Aliases

arxiv: 1008.0318 · arxiv_version: 1008.0318v1 · doi: 10.48550/arxiv.1008.0318 · pith_short_12: OJKZ3FQOJVBW · pith_short_16: OJKZ3FQOJVBWJPOS · pith_short_8: OJKZ3FQO

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/OJKZ3FQOJVBWJPOS6RJW6SP6XZ \
  | 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: 72559d960e4d4364bdd2f4536f49febe5beb7f9c6c94d44b14afe875b355690b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77830752a63359829e007aa9c55d42b77c0c5fed5ae72b7e164b5eb89d969b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-02T14:40:46Z",
    "title_canon_sha256": "b2b5fc5ad651b72c162cd34e523322ff5e160ba7e039b8f1b5c75c56d6d8e497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0318",
    "kind": "arxiv",
    "version": 1
  }
}