Pith Number

pith:A2YMNWSR

pith:2019:A2YMNWSRGQVENMQGCILA7T2N5T

not attested not anchored not stored refs pending

A positivity preserving iterative method for finding the ground states of saturable nonlinear Schr\"odinger equations

Ching-Sung Liu

arxiv:1907.04644 v1 · 2019-07-10 · math.NA · cs.NA · physics.comp-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{A2YMNWSRGQVENMQGCILA7T2N5T}

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	2026-05-17T23:40:57.252789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b0c6da51342a46b20612160fcf4decf2cb51c4f38c4bfc12755d316daa70e4

Aliases

arxiv: 1907.04644 · arxiv_version: 1907.04644v1 · doi: 10.48550/arxiv.1907.04644 · pith_short_12: A2YMNWSRGQVE · pith_short_16: A2YMNWSRGQVENMQG · pith_short_8: A2YMNWSR

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/A2YMNWSRGQVENMQGCILA7T2N5T \
  | 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: 06b0c6da51342a46b20612160fcf4decf2cb51c4f38c4bfc12755d316daa70e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b13e1ea13322a736ea0bd1ef75d94a9831d22f73cf3d7433ce1a88c4bce22d3",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-10T12:07:22Z",
    "title_canon_sha256": "c941b7404483dc03790074c3a9c89f0dbf55b43f6205a1850d713bef9e433d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04644",
    "kind": "arxiv",
    "version": 1
  }
}