Pith Number

pith:T7U7LKIX

pith:2013:T7U7LKIXRSEYBUVLN6K4XB3A4F

not attested not anchored not stored refs pending

Kernel estimates for nonautonomous Kolmogorov equations

A. Rhandi, L. Lorenzi, M. Kunze

arxiv:1308.1926 v1 · 2013-08-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7U7LKIXRSEYBUVLN6K4XB3A4F}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:16:27.392002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe9f5a9178c8980d2ab6f95cb8760e1615f669e36b79fb3a8fe3e802f4377cb

Aliases

arxiv: 1308.1926 · arxiv_version: 1308.1926v1 · doi: 10.48550/arxiv.1308.1926 · pith_short_12: T7U7LKIXRSEY · pith_short_16: T7U7LKIXRSEYBUVL · pith_short_8: T7U7LKIX

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/T7U7LKIXRSEYBUVLN6K4XB3A4F \
  | 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: 9fe9f5a9178c8980d2ab6f95cb8760e1615f669e36b79fb3a8fe3e802f4377cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd399d35380e88befd75a41f2a3e950670fc44819bb07386bbc372cfc1913c74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-08T18:39:44Z",
    "title_canon_sha256": "c683f1a8ab185044f86db19175dd0b94e7d703b94adaf5128231303009c7856f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1926",
    "kind": "arxiv",
    "version": 1
  }
}