Pith Number

pith:KLIY7GHM

pith:2017:KLIY7GHMBSIRNH76KB6PAR3Z3Q

not attested not anchored not stored refs pending

Continuous and discrete dynamical Schr\"odinger systems: explicit solutions

A.L. Sakhnovich, B. Fritzsche, B. Kirstein, I.Ya. Roitberg

arxiv:1701.08011 v2 · 2017-01-27 · math.DS · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLIY7GHMBSIRNH76KB6PAR3Z3Q}

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	2026-05-18T00:20:44.769761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d18f98ec0c91169ffe507cf04779dc050c1db69c6c2491dd3719b7bc617550

Aliases

arxiv: 1701.08011 · arxiv_version: 1701.08011v2 · doi: 10.48550/arxiv.1701.08011 · pith_short_12: KLIY7GHMBSIR · pith_short_16: KLIY7GHMBSIRNH76 · pith_short_8: KLIY7GHM

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/KLIY7GHMBSIRNH76KB6PAR3Z3Q \
  | 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: 52d18f98ec0c91169ffe507cf04779dc050c1db69c6c2491dd3719b7bc617550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb89bf728c2fbe24123269f5430abfb9839bfef244be5c2c99b8ff0b3569a4ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-27T10:50:54Z",
    "title_canon_sha256": "41848b9ef9efce85cec8dbb8ac71d11fb1dd6b6b6abf728cf668912cad01f46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08011",
    "kind": "arxiv",
    "version": 2
  }
}