Pith Number

pith:QXMCVQSE

pith:2019:QXMCVQSE5OIW43FODRR24KCJTG

not attested not anchored not stored refs pending

Normalized solutions for a fourth-order Schr\"{o}dinger equation with positive second-order dispersion coefficient

Tao Yang, Xiao Luo

arxiv:1908.03079 v2 · 2019-08-07 · 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{QXMCVQSE5OIW43FODRR24KCJTG}

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	2026-07-05T01:59:53.874071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d82ac244eb916e6cae1c63ae2849999606fadf558b2b649503d723a294d0c9

Aliases

arxiv: 1908.03079 · arxiv_version: 1908.03079v2 · doi: 10.48550/arxiv.1908.03079 · pith_short_12: QXMCVQSE5OIW · pith_short_16: QXMCVQSE5OIW43FO · pith_short_8: QXMCVQSE

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/QXMCVQSE5OIW43FODRR24KCJTG \
  | 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: 85d82ac244eb916e6cae1c63ae2849999606fadf558b2b649503d723a294d0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505ba8c76a0314dd1616ed733bbb9761705e8ab417bcafb71a01297ac3e2ee71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-07T10:42:05Z",
    "title_canon_sha256": "ce56b0fa892102f17959b9fe9cf75626761ab5cae94e8e841343de86f69b7ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03079",
    "kind": "arxiv",
    "version": 2
  }
}