Pith Number

pith:MDN3GE5Y

pith:2016:MDN3GE5YWNFL277SCKCWSTNMQI

not attested not anchored not stored refs pending

Algebraic method for group classification of (1+1)-dimensional linear Schr\"odinger equations

C\'elestin Kurujyibwami, Peter Basarab-Horwath, Roman O. Popovych

arxiv:1607.04118 v2 · 2016-07-14 · math-ph · math.AP · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDN3GE5YWNFL277SCKCWSTNMQI}

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	2026-05-18T00:21:57.243170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60dbb313b8b34abd7ff21285694dac823632c22938c1eed98957af337da3f1b2

Aliases

arxiv: 1607.04118 · arxiv_version: 1607.04118v2 · doi: 10.48550/arxiv.1607.04118 · pith_short_12: MDN3GE5YWNFL · pith_short_16: MDN3GE5YWNFL277S · pith_short_8: MDN3GE5Y

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/MDN3GE5YWNFL277SCKCWSTNMQI \
  | 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: 60dbb313b8b34abd7ff21285694dac823632c22938c1eed98957af337da3f1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f649860871e580bcfc1f5053ecdfa5762d5fa8444b7342d4de2c658cebe797f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-14T13:15:07Z",
    "title_canon_sha256": "2b095256f6b95ace229312ea50206b2ccb5b7cd691f81e6f4253e6abb2b93628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04118",
    "kind": "arxiv",
    "version": 2
  }
}