Pith Number

pith:BN7ZMUOK

pith:2016:BN7ZMUOKI4Q7S2XQCLGIEXXSQZ

not attested not anchored not stored refs pending

Levi's problem for complex homogeneous manifolds

Bruce Gilligan

arxiv:1607.04310 v4 · 2016-07-14 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BN7ZMUOKI4Q7S2XQCLGIEXXSQZ}

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	2026-05-18T00:38:46.580396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7f9651ca4721f96af012cc825ef28675e74002cb89b65caf675ddd9cd164f5

Aliases

arxiv: 1607.04310 · arxiv_version: 1607.04310v4 · doi: 10.48550/arxiv.1607.04310 · pith_short_12: BN7ZMUOKI4Q7 · pith_short_16: BN7ZMUOKI4Q7S2XQ · pith_short_8: BN7ZMUOK

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/BN7ZMUOKI4Q7S2XQCLGIEXXSQZ \
  | 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: 0b7f9651ca4721f96af012cc825ef28675e74002cb89b65caf675ddd9cd164f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffa82e030e3f538d57d6321261328795877950d97a7da5687fd3abc9ac45d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-14T20:40:50Z",
    "title_canon_sha256": "ac363cae924e4fb3d0c194bea4cbabcc52541ee2c6a626448a2054c5fe7c5c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04310",
    "kind": "arxiv",
    "version": 4
  }
}