Pith Number

pith:P7ILDAFH

pith:2025:P7ILDAFHZXPRYEBDQZ352O3RAR

not attested not anchored not stored refs pending

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation

Haina Li, Yiran Xu

arxiv:2501.13771 v2 · 2025-01-23 · 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{P7ILDAFHZXPRYEBDQZ352O3RAR}

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	2026-07-05T10:04:42.433472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd0b180a7cddf1c10238677dd3b71047e8c140318bc659fcc394d9a9c90bf17

Aliases

arxiv: 2501.13771 · arxiv_version: 2501.13771v2 · doi: 10.48550/arxiv.2501.13771 · pith_short_12: P7ILDAFHZXPR · pith_short_16: P7ILDAFHZXPRYEBD · pith_short_8: P7ILDAFH

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/P7ILDAFHZXPRYEBDQZ352O3RAR \
  | 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: 7fd0b180a7cddf1c10238677dd3b71047e8c140318bc659fcc394d9a9c90bf17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f1d7b01232afd3794ab84e280a05974298945c66177ee8d6037f0a7563fd01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-23T15:49:53Z",
    "title_canon_sha256": "c03d03c7d39f6f193d6b9c1c9bfe9bd2370a15a0b002fb4cf756d7f5652f976a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13771",
    "kind": "arxiv",
    "version": 2
  }
}