Pith Number

pith:2OLE6NYB

pith:2018:2OLE6NYBQ3UWUPWPFN4FDBJAJT

not attested not anchored not stored refs pending

Geometric finiteness in negatively pinched Hadamard manifolds

Beibei Liu, Michael Kapovich

arxiv:1801.08239 v3 · 2018-01-24 · math.GR · math.DG · 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{2OLE6NYBQ3UWUPWPFN4FDBJAJT}

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	2026-05-17T23:57:48.681693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3964f370186e96a3ecf2b785185204cf235a1b0f77e84aa57a4ef3931211dbf

Aliases

arxiv: 1801.08239 · arxiv_version: 1801.08239v3 · doi: 10.48550/arxiv.1801.08239 · pith_short_12: 2OLE6NYBQ3UW · pith_short_16: 2OLE6NYBQ3UWUPWP · pith_short_8: 2OLE6NYB

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/2OLE6NYBQ3UWUPWPFN4FDBJAJT \
  | 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: d3964f370186e96a3ecf2b785185204cf235a1b0f77e84aa57a4ef3931211dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d0e1d59ef885f7d8e18f28e32976e50a82282af3a4e54bb8b23dd967761f56",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-24T23:33:01Z",
    "title_canon_sha256": "518ff68a1a3ed53d9773936b04ea9a0776af9ae18ada99004240a612909312c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08239",
    "kind": "arxiv",
    "version": 3
  }
}