Pith Number

pith:MQ26CVOX

pith:2016:MQ26CVOXXSJAXBINUEKUGDABEE

not attested not anchored not stored refs pending

Global dynamics above the first excited energy for the nonlinear Schr\"odinger equation with a potential

Kenji Nakanishi

arxiv:1603.02361 v1 · 2016-03-08 · 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{MQ26CVOXXSJAXBINUEKUGDABEE}

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	2026-05-18T01:19:23.568640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6435e155d7bc920b850da115430c01213281663888525bf527d66326fb468a63

Aliases

arxiv: 1603.02361 · arxiv_version: 1603.02361v1 · doi: 10.48550/arxiv.1603.02361 · pith_short_12: MQ26CVOXXSJA · pith_short_16: MQ26CVOXXSJAXBIN · pith_short_8: MQ26CVOX

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/MQ26CVOXXSJAXBINUEKUGDABEE \
  | 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: 6435e155d7bc920b850da115430c01213281663888525bf527d66326fb468a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6326da03ab56a97feeb7ee3251340408304de066d6603fb706a322849219b33d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-08T02:47:39Z",
    "title_canon_sha256": "493cbe605a2dff241db17b87bd41ac5c71c4ea350f7db391500f67f8887a5170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02361",
    "kind": "arxiv",
    "version": 1
  }
}