Pith Number

pith:QGI66Y6H

pith:2025:QGI66Y6HNRP3IVQSIXEYJOIKHL

not attested not anchored not stored refs pending

Nodal set for the Schr\"odinger equation under a local growth condition

Igor Kukavica, Linfeng Li

arxiv:2507.19600 v1 · 2025-07-25 · 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{QGI66Y6HNRP3IVQSIXEYJOIKHL}

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	2026-07-05T11:43:37.335704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8191ef63c76c5fb4561245c984b90a3ae90186560c49ee1250a77987b5a4195f

Aliases

arxiv: 2507.19600 · arxiv_version: 2507.19600v1 · doi: 10.48550/arxiv.2507.19600 · pith_short_12: QGI66Y6HNRP3 · pith_short_16: QGI66Y6HNRP3IVQS · pith_short_8: QGI66Y6H

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/QGI66Y6HNRP3IVQSIXEYJOIKHL \
  | 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: 8191ef63c76c5fb4561245c984b90a3ae90186560c49ee1250a77987b5a4195f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523ba61e5c1f4c9cbbc418a45e783ab183d75508d6a35b608f70fa679b042fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-25T18:13:21Z",
    "title_canon_sha256": "9f927e41f655166e678c3921b832b205f8d9a77bee09551bee809ddd2a04ca72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19600",
    "kind": "arxiv",
    "version": 1
  }
}