Pith Number

pith:7NGJFYY2

pith:2019:7NGJFYY2ZZR655HQ5FJBAX4OSA

not attested not anchored not stored refs pending

Global rough solution for $L^2$-critical semilinear heat equation in the negative Sobolev space

Avy Soffer, Xiaohua Yao, Yifei Wu

arxiv:1903.08316 v1 · 2019-03-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NGJFYY2ZZR655HQ5FJBAX4OSA}

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	2026-05-17T23:50:49.639106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4c92e31ace63eef4f0e952105f8e9006f3136627265e329aa686f5e2343b42

Aliases

arxiv: 1903.08316 · arxiv_version: 1903.08316v1 · doi: 10.48550/arxiv.1903.08316 · pith_short_12: 7NGJFYY2ZZR6 · pith_short_16: 7NGJFYY2ZZR655HQ · pith_short_8: 7NGJFYY2

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/7NGJFYY2ZZR655HQ5FJBAX4OSA \
  | 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: fb4c92e31ace63eef4f0e952105f8e9006f3136627265e329aa686f5e2343b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90736f58166515d65cbcf9eae01baa58e76079184d9442cf77354981069a2a34",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-20T02:14:04Z",
    "title_canon_sha256": "f962101ff15274248c3cf9e3b342528d2d1d8474c6ddb49347c3f815a848e8d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08316",
    "kind": "arxiv",
    "version": 1
  }
}