Pith Number

pith:S6YA4T2A

pith:2018:S6YA4T2AL7M7DXN4TJZW5LR5E6

not attested not anchored not stored refs pending

On the centralizer of vector fields: criteria of triviality and genericity results

Bruno Santiago, Davi Obata, Martin Leguil

arxiv:1810.05085 v2 · 2018-10-11 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6YA4T2AL7M7DXN4TJZW5LR5E6}

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	2026-07-05T04:44:38.361811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b00e4f405fd9f1ddbc9a736eae3d27ac0f3427b55484fec105592e6863735c

Aliases

arxiv: 1810.05085 · arxiv_version: 1810.05085v2 · doi: 10.48550/arxiv.1810.05085 · pith_short_12: S6YA4T2AL7M7 · pith_short_16: S6YA4T2AL7M7DXN4 · pith_short_8: S6YA4T2A

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/S6YA4T2AL7M7DXN4TJZW5LR5E6 \
  | 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: 97b00e4f405fd9f1ddbc9a736eae3d27ac0f3427b55484fec105592e6863735c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b48ddf4cd5ae43aa85106c8a39a94f72296fbee244dce7ac757b2b7fb71cbc1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-11T15:32:55Z",
    "title_canon_sha256": "660849eeba425b267ab2f5153a070f83cea88fe4bf0333e82d69c0cc1c7f992a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05085",
    "kind": "arxiv",
    "version": 2
  }
}