Pith Number

pith:C562F7AQ

pith:2017:C562F7AQBZJ36SGTWDY4MPXOWQ

not attested not anchored not stored refs pending

Geodesic Planes in Geometrically Finite Manifolds

Osama Khalil

arxiv:1712.00687 v3 · 2017-12-03 · math.DS · 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{C562F7AQBZJ36SGTWDY4MPXOWQ}

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	2026-07-05T03:21:03.344812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177da2fc100e53bf48d3b0f1c63eeeb411ee540cae2c5d563faff5c27c128015

Aliases

arxiv: 1712.00687 · arxiv_version: 1712.00687v3 · doi: 10.48550/arxiv.1712.00687 · pith_short_12: C562F7AQBZJ3 · pith_short_16: C562F7AQBZJ36SGT · pith_short_8: C562F7AQ

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/C562F7AQBZJ36SGTWDY4MPXOWQ \
  | 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: 177da2fc100e53bf48d3b0f1c63eeeb411ee540cae2c5d563faff5c27c128015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897691602bad05ff23d3fd78f60aafb54534bde83743765c1210b980f0c1e2e4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-03T00:51:19Z",
    "title_canon_sha256": "c3905e57d865fd0143da1a878a9bb0d955dc45c070fc07ee8b87a042da20369a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00687",
    "kind": "arxiv",
    "version": 3
  }
}