Pith Number

pith:NO5I67FR

pith:2026:NO5I67FRCE3PDXBEUCIODICXU4

not attested not anchored not stored refs pending

On $m$-order logarithmic Schr\"odinger operator

Estefan\'ia Dalmasso, Jorge J. Betancor, Lourde Rodr\'iguez-Mesa, Pablo Quijano

arxiv:2606.21056 v1 · 2026-06-19 · 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{NO5I67FRCE3PDXBEUCIODICXU4}

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	2026-06-23T01:12:28.439399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bba8f7cb11136f1dc24a090e1a057a736338ec632bdc31ce7897f8a7ecece32

Aliases

arxiv: 2606.21056 · arxiv_version: 2606.21056v1 · doi: 10.48550/arxiv.2606.21056 · pith_short_12: NO5I67FRCE3P · pith_short_16: NO5I67FRCE3PDXBE · pith_short_8: NO5I67FR

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/NO5I67FRCE3PDXBEUCIODICXU4 \
  | 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: 6bba8f7cb11136f1dc24a090e1a057a736338ec632bdc31ce7897f8a7ecece32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371ba184129012b7630214bbb492ed2bf3e3b9cbbdde6959eadca51b74687364",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-19T02:48:01Z",
    "title_canon_sha256": "4565cda1cdbef39eab661f48c93eeb72ea534341aad630f5b7efe096463d5e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21056",
    "kind": "arxiv",
    "version": 1
  }
}