Pith Number

pith:FMRSPBSQ

pith:2011:FMRSPBSQZK76WZWQ5TMQOLUSIF

not attested not anchored not stored refs pending

Ultrarigid tangents of sub-Riemannian nilpotent groups

Alessandro Ottazzi, Ben Warhurst, Enrico Le Donne

arxiv:1104.3071 v2 · 2011-04-15 · math.MG · math.AP · 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{FMRSPBSQZK76WZWQ5TMQOLUSIF}

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	2026-05-18T03:04:07.014742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b23278650cabfeb66d0ecd9072e924157123d90464d40401c4240f73b30d87d

Aliases

arxiv: 1104.3071 · arxiv_version: 1104.3071v2 · doi: 10.48550/arxiv.1104.3071 · pith_short_12: FMRSPBSQZK76 · pith_short_16: FMRSPBSQZK76WZWQ · pith_short_8: FMRSPBSQ

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/FMRSPBSQZK76WZWQ5TMQOLUSIF \
  | 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: 2b23278650cabfeb66d0ecd9072e924157123d90464d40401c4240f73b30d87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febd377adfe36f0e747c76bcdaec31f4bbfc3f1bb850a3a04e2a3c6ece761baf",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-04-15T14:33:04Z",
    "title_canon_sha256": "1044197454f7658ee05ac6fda9012882e35686d29f8fb2e5b99f6e92c84fb481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3071",
    "kind": "arxiv",
    "version": 2
  }
}