Pith Number

pith:YIE4Z4UZ

pith:2012:YIE4Z4UZ3UXZ53HCN3FW6GBRFX

not attested not anchored not stored refs pending

Isometries of Carnot groups and subFinsler homogeneous manifolds

Alessandro Ottazzi, Enrico Le Donne

arxiv:1210.5097 v1 · 2012-10-18 · math.MG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIE4Z4UZ3UXZ53HCN3FW6GBRFX}

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	2026-05-18T03:42:54.288134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c209ccf299dd2f9eece26ecb6f18312dede9f73d304ce1f3acc5049c3218570b

Aliases

arxiv: 1210.5097 · arxiv_version: 1210.5097v1 · doi: 10.48550/arxiv.1210.5097 · pith_short_12: YIE4Z4UZ3UXZ · pith_short_16: YIE4Z4UZ3UXZ53HC · pith_short_8: YIE4Z4UZ

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/YIE4Z4UZ3UXZ53HCN3FW6GBRFX \
  | 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: c209ccf299dd2f9eece26ecb6f18312dede9f73d304ce1f3acc5049c3218570b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d554745613a0d0639e7366c85a0de1763ffa4164583cfac64dd5ba40276994e0",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-18T11:32:49Z",
    "title_canon_sha256": "aae1423026dde94ad0e74ea7dcf634fb796d014d90b9b17b043145f3fb324e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5097",
    "kind": "arxiv",
    "version": 1
  }
}