Pith Number

pith:ICJ5V7IP

pith:2026:ICJ5V7IPT2UIHTDKD6F52LGOMN

not attested not anchored not stored refs pending

Admissible Discrete Linear Propagators for High-Order Time Splittings of Rotational Nonlinear Schr\"odinger Equations with Arbitrary Three-Dimensional Rotation

Fei Xue, Tianqi Zhang

arxiv:2607.07923 v1 · 2026-07-08 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICJ5V7IPT2UIHTDKD6F52LGOMN}

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	2026-07-10T00:19:04.913742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4093dafd0f9ea883cc6a1f8bdd2cce634a0ad1419b022e1846dbd18dab623352

Aliases

arxiv: 2607.07923 · arxiv_version: 2607.07923v1 · doi: 10.48550/arxiv.2607.07923 · pith_short_12: ICJ5V7IPT2UI · pith_short_16: ICJ5V7IPT2UIHTDK · pith_short_8: ICJ5V7IP

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/ICJ5V7IPT2UIHTDKD6F52LGOMN \
  | 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: 4093dafd0f9ea883cc6a1f8bdd2cce634a0ad1419b022e1846dbd18dab623352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00837be8126b72e67f541f463ca7d158ff18928b4e7442931437c40cb619835c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-08T21:12:40Z",
    "title_canon_sha256": "94c4d4f93bd5dfcbca98e439b2c96172a921f17bc1a85dce6ff346078898f702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07923",
    "kind": "arxiv",
    "version": 1
  }
}