Pith Number

pith:B5475N4B

pith:2017:B5475N4BXYSJQ4IFW4M2E43NZT

not attested not anchored not stored refs pending

Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation

Longjie Xie, Peng Chen, Renming Song, Yingchao Xie

arxiv:1712.03265 v1 · 2017-12-08 · math.PR · 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{B5475N4BXYSJQ4IFW4M2E43NZT}

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	2026-05-18T00:28:21.816437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f79feb781be24987105b719a2736dccffae1b636170c4350e1ae40b5ac31c8d

Aliases

arxiv: 1712.03265 · arxiv_version: 1712.03265v1 · doi: 10.48550/arxiv.1712.03265 · pith_short_12: B5475N4BXYSJ · pith_short_16: B5475N4BXYSJQ4IF · pith_short_8: B5475N4B

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/B5475N4BXYSJQ4IFW4M2E43NZT \
  | 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: 0f79feb781be24987105b719a2736dccffae1b636170c4350e1ae40b5ac31c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001b87331a6a85d832cfa5fda410fdf6abc9252a651277e3de161def6730f0b1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-08T19:37:34Z",
    "title_canon_sha256": "df0ca28162c976d1bfc79a78508a51dc9a1a97492f0edf5d49ecfcc8be1a5c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03265",
    "kind": "arxiv",
    "version": 1
  }
}