Pith Number

pith:FZMSF5VU

pith:2010:FZMSF5VU3BSZSOOVZ6HHXNLCE2

not attested not anchored not stored refs pending

Sub-semi-Riemannian geometry on $H$-type groups

Anna Korolko

arxiv:1010.4392 v1 · 2010-10-21 · 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{FZMSF5VU3BSZSOOVZ6HHXNLCE2}

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	2026-05-18T04:38:58.728030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e5922f6b4d8659939d5cf8e7bb56226ba1991fec69a165dedec8a19927553ec

Aliases

arxiv: 1010.4392 · arxiv_version: 1010.4392v1 · doi: 10.48550/arxiv.1010.4392 · pith_short_12: FZMSF5VU3BSZ · pith_short_16: FZMSF5VU3BSZSOOV · pith_short_8: FZMSF5VU

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/FZMSF5VU3BSZSOOVZ6HHXNLCE2 \
  | 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: 2e5922f6b4d8659939d5cf8e7bb56226ba1991fec69a165dedec8a19927553ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0ccd348e8442da4224e5cc69f07fa3cab43e1d6e12a410f5ab0e32aa273e96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-21T08:13:41Z",
    "title_canon_sha256": "12d9b1c86f51b5c7471d67a8231f30e7b0fb4d0fba61e6b9d648e266f2be3e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4392",
    "kind": "arxiv",
    "version": 1
  }
}