Pith Number

pith:RJVWMDZ3

pith:2012:RJVWMDZ3DSLL3T6IQIMQCNRQ23

not attested not anchored not stored refs pending

On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry

Emmanuel Breuillard, Enrico Le Donne

arxiv:1204.1613 v1 · 2012-04-07 · math.GR · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJVWMDZ3DSLL3T6IQIMQCNRQ23}

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	2026-05-18T02:57:24.356508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a6b660f3b1c96bdcfc88219013630d6d103d1766bca4be0423ac67d02b58d0d

Aliases

arxiv: 1204.1613 · arxiv_version: 1204.1613v1 · doi: 10.48550/arxiv.1204.1613 · pith_short_12: RJVWMDZ3DSLL · pith_short_16: RJVWMDZ3DSLL3T6I · pith_short_8: RJVWMDZ3

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/RJVWMDZ3DSLL3T6IQIMQCNRQ23 \
  | 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: 8a6b660f3b1c96bdcfc88219013630d6d103d1766bca4be0423ac67d02b58d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836339fe3547c9a953e44b6df86a313903e9af24d1ba6bd1dfb1efd871ff5394",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-07T08:36:28Z",
    "title_canon_sha256": "397d09fb72fc951f0f18ab8783802165f7afbc098ea8cf1e0b1bc7eb820a9ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1613",
    "kind": "arxiv",
    "version": 1
  }
}