Pith Number

pith:CINSYQ7N

pith:2026:CINSYQ7NKOE3CB66CSYRS67RQJ

not attested not anchored not stored refs pending

Optimal Weighted Smoothing and Asymptotics of Ancient Solutions for Fast Diffusion Equations

Hua-Yang Wang, Jingang Xiong, Xiqin Jiang

arxiv:2605.14622 v1 · 2026-05-14 · 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{CINSYQ7NKOE3CB66CSYRS67RQJ}

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	2026-05-17T23:39:04.052749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121b2c43ed5389b107de14b1197bf1825c0ed5c3fb0c767b98d18b06528add8d

Aliases

arxiv: 2605.14622 · arxiv_version: 2605.14622v1 · doi: 10.48550/arxiv.2605.14622 · pith_short_12: CINSYQ7NKOE3 · pith_short_16: CINSYQ7NKOE3CB66 · pith_short_8: CINSYQ7N

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/CINSYQ7NKOE3CB66CSYRS67RQJ \
  | 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: 121b2c43ed5389b107de14b1197bf1825c0ed5c3fb0c767b98d18b06528add8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a6f1373ff241ef33c279cb0b7a94c470468ffe79e5f153eb5e543945697246",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-14T09:38:11Z",
    "title_canon_sha256": "52d37ae222d14b9d5d4fcb479069b3d5dbf5bf8ee56f1673ea313a6a96af17a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14622",
    "kind": "arxiv",
    "version": 1
  }
}