Pith Number

pith:GVYFK6TM

pith:2012:GVYFK6TMWN3ASUUQLXTCILUPSK

not attested not anchored not stored refs pending

Sub-semi-Riemannian geometry of general $H$-type groups

Anna Korolko, Irina Markina, Mauricio Godoy Molina

arxiv:1207.5608 v1 · 2012-07-24 · 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{GVYFK6TMWN3ASUUQLXTCILUPSK}

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	2026-05-18T01:35:28.418572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3570557a6cb3760952905de6242e8f92aba44249c2c2196ee80394c0cccf8fa4

Aliases

arxiv: 1207.5608 · arxiv_version: 1207.5608v1 · doi: 10.48550/arxiv.1207.5608 · pith_short_12: GVYFK6TMWN3A · pith_short_16: GVYFK6TMWN3ASUUQ · pith_short_8: GVYFK6TM

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/GVYFK6TMWN3ASUUQLXTCILUPSK \
  | 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: 3570557a6cb3760952905de6242e8f92aba44249c2c2196ee80394c0cccf8fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af29891c64df84e65e9bc4e3b78c44a636350d932a6cb3aa9827523cef7a931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-24T07:51:19Z",
    "title_canon_sha256": "01156701e0cc169ff3d42cfc8bf868cd8e7a2045678cb39f557746dc923b732e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5608",
    "kind": "arxiv",
    "version": 1
  }
}