Pith Number

pith:R6KZUQDN

pith:2025:R6KZUQDNU3ETJLFDZJVY4HERRJ

not attested not anchored not stored refs pending

On the exponential convergence to equilibrium for ultrafast diffusion equations

Xinhang Tong, Yi C. Huang

arxiv:2509.07382 v1 · 2025-09-09 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6KZUQDNU3ETJLFDZJVY4HERRJ}

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	2026-07-05T12:08:08.721461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f959a406da6c934aca3ca6b8e1c918a7147db041ea6bf09ed9e30939760ba4e

Aliases

arxiv: 2509.07382 · arxiv_version: 2509.07382v1 · doi: 10.48550/arxiv.2509.07382 · pith_short_12: R6KZUQDNU3ET · pith_short_16: R6KZUQDNU3ETJLFD · pith_short_8: R6KZUQDN

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/R6KZUQDNU3ETJLFDZJVY4HERRJ \
  | 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: 8f959a406da6c934aca3ca6b8e1c918a7147db041ea6bf09ed9e30939760ba4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e4fc1c29b07262b7c15d609173789933da426d720dd7d746da5a86225c62a2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-09T04:23:31Z",
    "title_canon_sha256": "257ff80f75cc51e4623c7431237a7e20d75f15f36e544bca5cf3e27a1580f15b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07382",
    "kind": "arxiv",
    "version": 1
  }
}