Pith Number

pith:4EWA565W

pith:2016:4EWA565WS6WFZCBQQAAZFCKNOK

not attested not anchored not stored refs pending

Global Dynamics of solutions with group invariance for the nonlinear Schr\"{o}dinger equation

Takahisa Inui

arxiv:1606.09503 v1 · 2016-06-30 · 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{4EWA565WS6WFZCBQQAAZFCKNOK}

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	2026-05-18T01:11:40.367080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12c0efbb697ac5c8830800192894d72a46d8849019aae61cb664d08c3120d00

Aliases

arxiv: 1606.09503 · arxiv_version: 1606.09503v1 · doi: 10.48550/arxiv.1606.09503 · pith_short_12: 4EWA565WS6WF · pith_short_16: 4EWA565WS6WFZCBQ · pith_short_8: 4EWA565W

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/4EWA565WS6WFZCBQQAAZFCKNOK \
  | 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: e12c0efbb697ac5c8830800192894d72a46d8849019aae61cb664d08c3120d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14057937e1da8af30a47b26251535352515237c286da82a8e89f92342ff8e052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-30T14:17:42Z",
    "title_canon_sha256": "fcf3ec695a263931500b324bd0126313040277c8638ad7e304f70966acd1df67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09503",
    "kind": "arxiv",
    "version": 1
  }
}