Pith Number

pith:VZRBIC5F

pith:2017:VZRBIC5F3JKQEOD67D5OWBJJ3L

not attested not anchored not stored refs pending

Numerical methods for the Wigner equation with unbounded potential

Sihong Shao, Yunfeng Xiong, Zhenzhu Chen

arxiv:1712.03019 v1 · 2017-12-08 · physics.comp-ph · math.NA · quant-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{VZRBIC5F3JKQEOD67D5OWBJJ3L}

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	2026-05-17T23:44:32.840759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae62140ba5da5502387ef8faeb0529dad427423dc463bf93730415450e3ab20b

Aliases

arxiv: 1712.03019 · arxiv_version: 1712.03019v1 · doi: 10.48550/arxiv.1712.03019 · pith_short_12: VZRBIC5F3JKQ · pith_short_16: VZRBIC5F3JKQEOD6 · pith_short_8: VZRBIC5F

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/VZRBIC5F3JKQEOD67D5OWBJJ3L \
  | 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: ae62140ba5da5502387ef8faeb0529dad427423dc463bf93730415450e3ab20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614e9c6fd7eb4819965e3a114f6bdb2c539e88dc9be9d0aaf8d069440dee1e9d",
    "cross_cats_sorted": [
      "math.NA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2017-12-08T10:50:29Z",
    "title_canon_sha256": "1f32f55b4b7f22ba0bd1ce083d6ce1ffb8d5fd58347586784a8436890aa1352b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03019",
    "kind": "arxiv",
    "version": 1
  }
}