Pith Number

pith:NG2M745V

pith:2015:NG2M745VU4AYLS2GPRXH7P3DNC

not attested not anchored not stored refs pending

Convex projective structures on non-hyperbolic three-manifolds

Gye-Seon Lee, Jeffrey Danciger, Samuel A. Ballas

arxiv:1508.04794 v3 · 2015-08-19 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG2M745VU4AYLS2GPRXH7P3DNC}

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	2026-05-18T00:20:07.727882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b4cff3b5a70185cb467c6e7fbf6368ad5e1f24ea58d1304199c85bf36d477a

Aliases

arxiv: 1508.04794 · arxiv_version: 1508.04794v3 · doi: 10.48550/arxiv.1508.04794 · pith_short_12: NG2M745VU4AY · pith_short_16: NG2M745VU4AYLS2G · pith_short_8: NG2M745V

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/NG2M745VU4AYLS2GPRXH7P3DNC \
  | 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: 69b4cff3b5a70185cb467c6e7fbf6368ad5e1f24ea58d1304199c85bf36d477a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53b77a401620ccb982cf332859cadde8cf268b1992b2dfb9311845757ce64ab",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-19T20:55:10Z",
    "title_canon_sha256": "4865be21aa367a821878040de0f590843c1d286118b2d034eac756f1f8f34f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04794",
    "kind": "arxiv",
    "version": 3
  }
}