Pith Number

pith:LHNR3464

pith:2017:LHNR34645K7XZBCXGONRPI3Q2J

not attested not anchored not stored refs pending

On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time asymptotics

Gerassimos Barbatis, Panagiotis Branikas

arxiv:1712.02963 v2 · 2017-12-08 · 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{LHNR34645K7XZBCXGONRPI3Q2J}

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	2026-05-18T00:11:50.170630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59db1df3dceabf7c8457339b17a370d2746d982209d0a09431cec7279c096519

Aliases

arxiv: 1712.02963 · arxiv_version: 1712.02963v2 · doi: 10.48550/arxiv.1712.02963 · pith_short_12: LHNR34645K7X · pith_short_16: LHNR34645K7XZBCX · pith_short_8: LHNR3464

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/LHNR34645K7XZBCXGONRPI3Q2J \
  | 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: 59db1df3dceabf7c8457339b17a370d2746d982209d0a09431cec7279c096519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a85d4840ae31ca1498b2c74c5b3802a711276caab97be93da7797fc70198ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-08T06:45:45Z",
    "title_canon_sha256": "8c26e92315a3611abd375a4a7939b8181a48d81ee9d14e91db3ae78b4fcd1063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02963",
    "kind": "arxiv",
    "version": 2
  }
}