Pith Number

pith:PKNTT5RR

pith:2024:PKNTT5RR6KYX2QYMJRGXWMYQ7R

not attested not anchored not stored refs pending

Fractional logarithmic Schr\"{o}dinger equations on lattice graphs

Lidan Wang

arxiv:2409.09976 v1 · 2024-09-16 · 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{PKNTT5RR6KYX2QYMJRGXWMYQ7R}

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.

Cited by

1 paper in Pith

Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations

Receipt and verification

First computed	2026-07-05T09:07:32.892700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9b39f631f2b17d430c4c4d7b3310fc71dd9a1e0d309c2ddb77cf49b7d6da6a

Aliases

arxiv: 2409.09976 · arxiv_version: 2409.09976v1 · doi: 10.48550/arxiv.2409.09976 · pith_short_12: PKNTT5RR6KYX · pith_short_16: PKNTT5RR6KYX2QYM · pith_short_8: PKNTT5RR

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/PKNTT5RR6KYX2QYMJRGXWMYQ7R \
  | 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: 7a9b39f631f2b17d430c4c4d7b3310fc71dd9a1e0d309c2ddb77cf49b7d6da6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ca3c0d5a8a6f8c4c13ba706453ea5cf02be187fd22d1ead54751e83fc34b2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-16T04:14:04Z",
    "title_canon_sha256": "a55001c5a80b106ff15cabef592e6c9a25789d054f1c320b9001918b4ea68852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.09976",
    "kind": "arxiv",
    "version": 1
  }
}