Pith Number

pith:ODCU72TR

pith:2017:ODCU72TR5FCVLWGQVSV4PP6VXA

not attested not anchored not stored refs pending

Hyperbolicity cones and imaginary projections

Thorsten J\"orgens, Thorsten Theobald

arxiv:1703.04988 v5 · 2017-03-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODCU72TR5FCVLWGQVSV4PP6VXA}

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	2026-05-18T00:15:10.478544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c54fea71e94555d8d0acabc7bfd5b82b1a5895d32af15d9b557df459a35402

Aliases

arxiv: 1703.04988 · arxiv_version: 1703.04988v5 · doi: 10.48550/arxiv.1703.04988 · pith_short_12: ODCU72TR5FCV · pith_short_16: ODCU72TR5FCVLWGQ · pith_short_8: ODCU72TR

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/ODCU72TR5FCVLWGQVSV4PP6VXA \
  | 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: 70c54fea71e94555d8d0acabc7bfd5b82b1a5895d32af15d9b557df459a35402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de2d5775ba330f1496bd4ac8241a4b28062317eca4b0a2611ed98a2801f361b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-15T07:52:57Z",
    "title_canon_sha256": "e693a6bdabc269adeaff2fab75c5d6259714fc427d6bc3914d83f56c4771202d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04988",
    "kind": "arxiv",
    "version": 5
  }
}