Pith Number

pith:LKB5AOHF

pith:2012:LKB5AOHFI4VDMITZYUABWRTX2N

not attested not anchored not stored refs pending

On improvement of summability properties in nonautonomous Kolmogorov equations

Luca Lorenzi, Luciana Angiuli

arxiv:1207.1293 v1 · 2012-07-05 · 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{LKB5AOHFI4VDMITZYUABWRTX2N}

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	2026-05-18T03:51:46.408446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a83d038e5472a362279c5001b4677d34eb12f088f878dfde1b3c818217e01d2

Aliases

arxiv: 1207.1293 · arxiv_version: 1207.1293v1 · doi: 10.48550/arxiv.1207.1293 · pith_short_12: LKB5AOHFI4VD · pith_short_16: LKB5AOHFI4VDMITZ · pith_short_8: LKB5AOHF

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/LKB5AOHFI4VDMITZYUABWRTX2N \
  | 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: 5a83d038e5472a362279c5001b4677d34eb12f088f878dfde1b3c818217e01d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79480f54e57f860d9003d9f6d8cefe9bae59d0f131ffe80835bc59b4b892cc3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-05T16:00:06Z",
    "title_canon_sha256": "a9c072f259553e7c85e7e13d9631355256a88024fd73fec6ebb5e4bad042b48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1293",
    "kind": "arxiv",
    "version": 1
  }
}