Pith Number

pith:OMDFBUQR

pith:2019:OMDFBUQR67MFULMEFKOTDGPVIU

not attested not anchored not stored refs pending

A criterion for the triviality of the centralizer for vector fields and applications

Paulo Varandas, Wescley Bonomo

arxiv:1903.07065 v1 · 2019-03-17 · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMDFBUQR67MFULMEFKOTDGPVIU}

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	2026-05-17T23:51:04.371277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

730650d211f7d85a2d842a9d3199f545141cc5d0693832ea1ed67deaaad6a98e

Aliases

arxiv: 1903.07065 · arxiv_version: 1903.07065v1 · doi: 10.48550/arxiv.1903.07065 · pith_short_12: OMDFBUQR67MF · pith_short_16: OMDFBUQR67MFULME · pith_short_8: OMDFBUQR

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/OMDFBUQR67MFULMEFKOTDGPVIU \
  | 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: 730650d211f7d85a2d842a9d3199f545141cc5d0693832ea1ed67deaaad6a98e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fbbec9a651c4ce9e04cbeaefbc1e39248005f8cff758204c349bb31d5d30af6",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-17T12:08:35Z",
    "title_canon_sha256": "4a02f2f5a2b21160c2d0f3892ed660bb36bcbf5466f6717613c4795f09f717ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07065",
    "kind": "arxiv",
    "version": 1
  }
}