Pith Number

pith:NL4UIDIK

pith:2013:NL4UIDIKAF3JEZCQR4MNK3XVEU

not attested not anchored not stored refs pending

Hausdorff dimension of divergent diagonal geodesics on product of finite volume hyperbolic spaces

Lei Yang

arxiv:1303.5993 v5 · 2013-03-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NL4UIDIKAF3JEZCQR4MNK3XVEU}

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	2026-05-18T01:27:37.154638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af9440d0a01769264508f18d56ef5253733fc43b27404706678c18de4204f45

Aliases

arxiv: 1303.5993 · arxiv_version: 1303.5993v5 · doi: 10.48550/arxiv.1303.5993 · pith_short_12: NL4UIDIKAF3J · pith_short_16: NL4UIDIKAF3JEZCQ · pith_short_8: NL4UIDIK

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/NL4UIDIKAF3JEZCQR4MNK3XVEU \
  | 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: 6af9440d0a01769264508f18d56ef5253733fc43b27404706678c18de4204f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fcbce327ea70c16f7778a92a81f4367f030532ab3bb22014c08f52501196862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-24T21:17:44Z",
    "title_canon_sha256": "06300321a27747121634514a6db887084dba22c079ddd64cac1a87f66dc54a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5993",
    "kind": "arxiv",
    "version": 5
  }
}