pith. sign in
Pith Number

pith:MQTXUW7D

pith:2014:MQTXUW7DENEDV7QQXTHWJSAZJ4
not attested not anchored not stored refs pending

Multi-symplectic Preserving Integrator for the Schr\"{o}dinger Equation with Wave Operator

Lan Wang, Linghua Kong, Liying Zhang

arxiv:1410.8624 v1 · 2014-10-31 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQTXUW7DENEDV7QQXTHWJSAZJ4}

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 2026-05-18T02:38:54.084239Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

64277a5be323483afe10bccf64c8194f14b2bd489981e6dfe33a32b38d6e6fc8

Aliases

arxiv: 1410.8624 · arxiv_version: 1410.8624v1 · doi: 10.48550/arxiv.1410.8624 · pith_short_12: MQTXUW7DENED · pith_short_16: MQTXUW7DENEDV7QQ · pith_short_8: MQTXUW7D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQTXUW7DENEDV7QQXTHWJSAZJ4 \
  | 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: 64277a5be323483afe10bccf64c8194f14b2bd489981e6dfe33a32b38d6e6fc8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e15731701c397d3032853e10105a16dc8370a78815fa01179f9c32254c88c2fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-10-31T03:15:05Z",
    "title_canon_sha256": "8f67da2b24e95b2ee7d6316ea53a53654efeb61d44918ba5e2faa199f7fd3617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8624",
    "kind": "arxiv",
    "version": 1
  }
}