Pith Number

pith:BGXH6L65

pith:2018:BGXH6L65JT4GA5PMLRPYTJ44GP

not attested not anchored not stored refs pending

Geometric infiniteness in negatively pinched Hadamard manifolds

Beibei Liu, Michael Kapovich

arxiv:1804.09840 v2 · 2018-04-26 · 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{BGXH6L65JT4GA5PMLRPYTJ44GP}

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	2026-05-17T23:55:29.446537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ae7f2fdd4cf86075ec5c5f89a79c33f49f9fdb93283204b72973b038d24988

Aliases

arxiv: 1804.09840 · arxiv_version: 1804.09840v2 · doi: 10.48550/arxiv.1804.09840 · pith_short_12: BGXH6L65JT4G · pith_short_16: BGXH6L65JT4GA5PM · pith_short_8: BGXH6L65

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/BGXH6L65JT4GA5PMLRPYTJ44GP \
  | 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: 09ae7f2fdd4cf86075ec5c5f89a79c33f49f9fdb93283204b72973b038d24988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "481fe0b120883d659effc70c4e33e0b5f6d29359875ce6bebc5c5e8b93e2bd38",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-26T00:24:25Z",
    "title_canon_sha256": "b29f754350aff1104f4ed2c0c8d27f143790d998752f13f844fff2a00edbb30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09840",
    "kind": "arxiv",
    "version": 2
  }
}