Pith Number

pith:LRTRZME2

pith:2014:LRTRZME2PZILUOYIAGMR37ZZ4J

not attested not anchored not stored refs pending

On the complexity of isometric immersions of hyperbolic spaces in any codimension

Francisco Fontenele, Frederico Xavier

arxiv:1410.8465 v1 · 2014-10-30 · 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{LRTRZME2PZILUOYIAGMR37ZZ4J}

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	2026-05-18T02:38:59.861198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c671cb09a7e50ba3b0801991dff39e2713f9f65ec307466c6ee76267151902a

Aliases

arxiv: 1410.8465 · arxiv_version: 1410.8465v1 · doi: 10.48550/arxiv.1410.8465 · pith_short_12: LRTRZME2PZIL · pith_short_16: LRTRZME2PZILUOYI · pith_short_8: LRTRZME2

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/LRTRZME2PZILUOYIAGMR37ZZ4J \
  | 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: 5c671cb09a7e50ba3b0801991dff39e2713f9f65ec307466c6ee76267151902a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e9b20e85f6d23520dc7dc39d45ecb66fb56c40a727f4ac1f821e58d407d785",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-30T17:54:29Z",
    "title_canon_sha256": "4668dd77b00f9af250f3ef7f7cd7d3e6893d793f9daae621a6ee69c5601580f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8465",
    "kind": "arxiv",
    "version": 1
  }
}