Pith Number

pith:5S4KYBEP

pith:2025:5S4KYBEPJPOS7E3MZPCMCCMCZK

not attested not anchored not stored refs pending

Sharp convergence rate of Schr\"odinger operator along curves

Meng Wang, Zhichao Wang

arxiv:2507.03883 v1 · 2025-07-05 · 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{5S4KYBEPJPOS7E3MZPCMCCMCZK}

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	2026-07-05T11:32:36.650677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb8ac048f4bdd2f936ccbc4c10982cab63128ed15c72f6b821cbf3bb75dfa90

Aliases

arxiv: 2507.03883 · arxiv_version: 2507.03883v1 · doi: 10.48550/arxiv.2507.03883 · pith_short_12: 5S4KYBEPJPOS · pith_short_16: 5S4KYBEPJPOS7E3M · pith_short_8: 5S4KYBEP

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/5S4KYBEPJPOS7E3MZPCMCCMCZK \
  | 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: ecb8ac048f4bdd2f936ccbc4c10982cab63128ed15c72f6b821cbf3bb75dfa90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66989dd807607d58e49ecd1671a0b0dde7a4d3beff7a13080925c3b5b1291cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-05T03:44:07Z",
    "title_canon_sha256": "90e442ff41f70b96a9b52243824460f72088f03f4ed9f1f3d11a9e5f304ef934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03883",
    "kind": "arxiv",
    "version": 1
  }
}