Pith Number

pith:A3K7UPDF

pith:2017:A3K7UPDFEP5VTUFJCGULQVWJKZ

not attested not anchored not stored refs pending

Characterization of temperatures associated to Schr\"odinger operators with initial data in Morrey spaces

Chao Zhang, Qiang Huang

arxiv:1712.03952 v3 · 2017-12-10 · 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{A3K7UPDFEP5VTUFJCGULQVWJKZ}

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	2026-05-18T00:00:30.795159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d5fa3c6523fb59d0a911a8b856c9567fb2b892f10fd0651420eda3b47273d5

Aliases

arxiv: 1712.03952 · arxiv_version: 1712.03952v3 · doi: 10.48550/arxiv.1712.03952 · pith_short_12: A3K7UPDFEP5V · pith_short_16: A3K7UPDFEP5VTUFJ · pith_short_8: A3K7UPDF

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/A3K7UPDFEP5VTUFJCGULQVWJKZ \
  | 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: 06d5fa3c6523fb59d0a911a8b856c9567fb2b892f10fd0651420eda3b47273d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85997a5ac66552a2ea872e2d0de471d9e48cdb2cc51f76f1dccf165305e0708",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-10T14:07:11Z",
    "title_canon_sha256": "b36a0a1767b1f6cb488ae7cc8d55055a36b2f341aac4f437db9014574d6ac845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03952",
    "kind": "arxiv",
    "version": 3
  }
}