Pith Number

pith:TQZQQ73K

pith:2019:TQZQQ73KKE4RLGWP3MYT67DZCT

not attested not anchored not stored refs pending

Positive multi-peak solutions for a logarithmic Schrodinger equation

Peng Luo, Yahui Niu

arxiv:1908.02970 v1 · 2019-08-08 · 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{TQZQQ73KKE4RLGWP3MYT67DZCT}

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	2026-07-04T23:52:25.337399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c33087f6a5139159acfdb313f7c7914df2da6bda80368b3c2bcacd7ae937eb5

Aliases

arxiv: 1908.02970 · arxiv_version: 1908.02970v1 · doi: 10.48550/arxiv.1908.02970 · pith_short_12: TQZQQ73KKE4R · pith_short_16: TQZQQ73KKE4RLGWP · pith_short_8: TQZQQ73K

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/TQZQQ73KKE4RLGWP3MYT67DZCT \
  | 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: 9c33087f6a5139159acfdb313f7c7914df2da6bda80368b3c2bcacd7ae937eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e5d71a7873db44baed2968f41e32ea9f10f475e9e6d4db48d461813f7506cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-08T08:22:21Z",
    "title_canon_sha256": "40dd6dbdbd757901293db9284c3a686321e250d2967f6d01a30e625758c3e856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02970",
    "kind": "arxiv",
    "version": 1
  }
}