Pith Number

pith:XVOISAE7

pith:2016:XVOISAE7FYDMIMLAYVLK7UZEY3

not attested not anchored not stored refs pending

The isometry group of an $\mathsf{RCD}^*$-space is Lie

Gerardo Sosa

arxiv:1609.02098 v2 · 2016-09-07 · 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{XVOISAE7FYDMIMLAYVLK7UZEY3}

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	2026-05-18T00:46:20.756283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5c89009f2e06c43160c556afd324c6e19280f5dd124fbb2a18d7c418baec14

Aliases

arxiv: 1609.02098 · arxiv_version: 1609.02098v2 · doi: 10.48550/arxiv.1609.02098 · pith_short_12: XVOISAE7FYDM · pith_short_16: XVOISAE7FYDMIMLA · pith_short_8: XVOISAE7

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/XVOISAE7FYDMIMLAYVLK7UZEY3 \
  | 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: bd5c89009f2e06c43160c556afd324c6e19280f5dd124fbb2a18d7c418baec14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bb73c43c33dc052a05e9191e92970fe24cc52c203313f4f468b2f6a182c2a4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-07T18:25:33Z",
    "title_canon_sha256": "5bc75ea2d11a399f1b0cb8811e9ad4871084a31c16c0d410f4dd707258928b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02098",
    "kind": "arxiv",
    "version": 2
  }
}