Pith Number

pith:X226FLHX

pith:2018:X226FLHXPVVCJ3D2VB77VWNPLK

not attested not anchored not stored refs pending

Closed geodesics and pluricanonical sections on ball quotients

Tatyana Barron

arxiv:1808.01245 v1 · 2018-08-03 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X226FLHXPVVCJ3D2VB77VWNPLK}

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	2026-05-18T00:08:58.518478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb5e2acf77d6a24ec7aa87ffad9af5ab09ae86efd8ef0784827727f3f96a297

Aliases

arxiv: 1808.01245 · arxiv_version: 1808.01245v1 · doi: 10.48550/arxiv.1808.01245 · pith_short_12: X226FLHXPVVC · pith_short_16: X226FLHXPVVCJ3D2 · pith_short_8: X226FLHX

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/X226FLHXPVVCJ3D2VB77VWNPLK \
  | 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: beb5e2acf77d6a24ec7aa87ffad9af5ab09ae86efd8ef0784827727f3f96a297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4236dada7235141d9e5a6f95634875ab9d2eb6883a0a3fb0c18aee1a1e0f4259",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-03T16:07:50Z",
    "title_canon_sha256": "511548b28899910f55af66660d5678b8817be6eac1047a81acc90bc625bd2c6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01245",
    "kind": "arxiv",
    "version": 1
  }
}