Pith Number

pith:RCDIUNX7

pith:2016:RCDIUNX7LQ7TXEVVNZJHZ7SXNH

not attested not anchored not stored refs pending

A retract theorem for nilpotent Lie groups

Carine Molitor-Braun, Jean Ludwig, Ying-Fen Lin

arxiv:1610.01535 v1 · 2016-10-05 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCDIUNX7LQ7TXEVVNZJHZ7SXNH}

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	2026-05-18T01:03:06.937073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88868a36ff5c3f3b92b56e527cfe5769f633c7bde8869852ee36d515eb612288

Aliases

arxiv: 1610.01535 · arxiv_version: 1610.01535v1 · doi: 10.48550/arxiv.1610.01535 · pith_short_12: RCDIUNX7LQ7T · pith_short_16: RCDIUNX7LQ7TXEVV · pith_short_8: RCDIUNX7

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/RCDIUNX7LQ7TXEVVNZJHZ7SXNH \
  | 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: 88868a36ff5c3f3b92b56e527cfe5769f633c7bde8869852ee36d515eb612288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272c6195078a2aea986ba559a079ad68484d8c5a55e6b276c7387e6cf1f73883",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-05T17:21:51Z",
    "title_canon_sha256": "7b0d4bdc6d71e833b1df74eaa1c4ba41cfb24eb8467cc93e74868be11a88d274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01535",
    "kind": "arxiv",
    "version": 1
  }
}