Pith Number

pith:LNZ4CWVJ

pith:2008:LNZ4CWVJ4LTGHEX7ERX2E7G3XW

not attested not anchored not stored refs pending

Nonholonomic Lorentzian geometry on some $\mathbb H$-type groups

Anna Korolko, Irina Markina

arxiv:0809.4450 v1 · 2008-09-25 · 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{LNZ4CWVJ4LTGHEX7ERX2E7G3XW}

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	2026-07-04T15:14:37.307102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b73c15aa9e2e66392ff246fa27cdbbdbb1121d5866d83d69492320014bad4de

Aliases

arxiv: 0809.4450 · arxiv_version: 0809.4450v1 · doi: 10.48550/arxiv.0809.4450 · pith_short_12: LNZ4CWVJ4LTG · pith_short_16: LNZ4CWVJ4LTGHEX7 · pith_short_8: LNZ4CWVJ

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/LNZ4CWVJ4LTGHEX7ERX2E7G3XW \
  | 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: 5b73c15aa9e2e66392ff246fa27cdbbdbb1121d5866d83d69492320014bad4de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e54a7dfecb7e78dbe7431f9cf4b7d2ce16c2d20ac6c49743267d41d21f76aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-25T16:33:09Z",
    "title_canon_sha256": "80e64ff62322bfdcc5c1c6e870ae8d021ba80725f27af68759e91a8b99b3b5f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4450",
    "kind": "arxiv",
    "version": 1
  }
}