Pith Number

pith:455RRVU6

pith:2020:455RRVU6PXWHSM2GTZR2YC7KVS

not attested not anchored not stored refs pending

Centralizers and normalizers of local analytic and formal vector fields

Niclas Kruff, Sebastian Walcher, Xiang Zhang

arxiv:2004.11599 v1 · 2020-04-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{455RRVU6PXWHSM2GTZR2YC7KVS}

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	2026-07-05T04:58:25.616558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77b18d69e7dec7933469e63ac0beaacba471fb7d112b72df80401bd34c528b3

Aliases

arxiv: 2004.11599 · arxiv_version: 2004.11599v1 · doi: 10.48550/arxiv.2004.11599 · pith_short_12: 455RRVU6PXWH · pith_short_16: 455RRVU6PXWHSM2G · pith_short_8: 455RRVU6

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/455RRVU6PXWHSM2GTZR2YC7KVS \
  | 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: e77b18d69e7dec7933469e63ac0beaacba471fb7d112b72df80401bd34c528b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6ebc0f71c0bc9c03cafd2eec282c238bb32b0e038c667195d9b54cb313db4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-04-24T08:55:42Z",
    "title_canon_sha256": "cf772da662039a905cb79b9397fd7bf2262b78223ee62dd3f2cd0ad98060cc64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.11599",
    "kind": "arxiv",
    "version": 1
  }
}