Pith Number

pith:66AHJWT2

pith:2015:66AHJWT22L6DBOLKVECYBREPSW

not attested not anchored not stored refs pending

Efficient simulation of Schr\"odinger equation with piecewise constant positive potential

Antti Rasila, Tommi Sottinen, Xuxin Yang

arxiv:1512.01306 v1 · 2015-12-04 · math.NA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66AHJWT22L6DBOLKVECYBREPSW}

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	2026-05-18T01:25:17.329342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78074da7ad2fc30b96aa90580c48f95b7d28188b2f789feed67c6c5797b0857

Aliases

arxiv: 1512.01306 · arxiv_version: 1512.01306v1 · doi: 10.48550/arxiv.1512.01306 · pith_short_12: 66AHJWT22L6D · pith_short_16: 66AHJWT22L6DBOLK · pith_short_8: 66AHJWT2

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/66AHJWT22L6DBOLKVECYBREPSW \
  | 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: f78074da7ad2fc30b96aa90580c48f95b7d28188b2f789feed67c6c5797b0857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f668855a3997afd3e50a38d1f59538a19080c34ff312419c0ef406694cee0e45",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-04T02:59:13Z",
    "title_canon_sha256": "dad35104f87ab00af16108614ba002912358064ab6de735b4b8797edb0e7a3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01306",
    "kind": "arxiv",
    "version": 1
  }
}