Pith Number

pith:YA45G6TL

pith:2023:YA45G6TL3OPCAEAPSWUMVF7TVM

not attested not anchored not stored refs pending

A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators

Giulio Tralli, Nicola Garofalo

arxiv:2304.10293 v1 · 2023-04-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YA45G6TL3OPCAEAPSWUMVF7TVM}

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.

Cited by

1 paper in Pith

ONER: Online Experience Replay for Incremental Anomaly Detection

Receipt and verification

First computed	2026-07-05T06:02:56.501178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c039d37a6bdb9e20100f95a8ca97f3ab36997ee8f134b0b0f92e628932dc1c43

Aliases

arxiv: 2304.10293 · arxiv_version: 2304.10293v1 · doi: 10.48550/arxiv.2304.10293 · pith_short_12: YA45G6TL3OPC · pith_short_16: YA45G6TL3OPCAEAP · pith_short_8: YA45G6TL

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/YA45G6TL3OPCAEAPSWUMVF7TVM \
  | 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: c039d37a6bdb9e20100f95a8ca97f3ab36997ee8f134b0b0f92e628932dc1c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65aa8327f29f5370879c5ff3f2dae223db0970fb6789e1f45e64d5887ba27ed0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-04-20T13:15:57Z",
    "title_canon_sha256": "785e802bd5f4d6604ff12d8eb7397b695f474ed3ca3a5f11821317ab63084961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.10293",
    "kind": "arxiv",
    "version": 1
  }
}