Pith Number

pith:CJG2ZQRF

pith:2016:CJG2ZQRFQMZNO2ZXGBBVTJEAXA

not attested not anchored not stored refs pending

Canonical symplectic structure and structure-preserving geometric algorithms for Schr\"odinger-Maxwell systems

Hong Qin, Jian Liu, Jianyuan Xiao, Qiang Chen, Ruili Zhang, Yang He, Yulei Wang

arxiv:1611.08955 v4 · 2016-11-28 · quant-ph · math.SG · physics.atom-ph · physics.plasm-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{CJG2ZQRFQMZNO2ZXGBBVTJEAXA}

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	2026-05-18T00:36:09.401711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124dacc2258332d76b37304359a480b81d7412d812761f8a8d209dc4007f9267

Aliases

arxiv: 1611.08955 · arxiv_version: 1611.08955v4 · doi: 10.48550/arxiv.1611.08955 · pith_short_12: CJG2ZQRFQMZN · pith_short_16: CJG2ZQRFQMZNO2ZX · pith_short_8: CJG2ZQRF

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/CJG2ZQRFQMZNO2ZXGBBVTJEAXA \
  | 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: 124dacc2258332d76b37304359a480b81d7412d812761f8a8d209dc4007f9267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79c10f637a7f1a8cbea2d17de285754c6bae8dad50951ebecb4260d0d16c822",
    "cross_cats_sorted": [
      "math.SG",
      "physics.atom-ph",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-11-28T02:00:50Z",
    "title_canon_sha256": "e6465f2ebae49e36256fbbfc717b4713e2a513c4e5a4df9a1ba42950880f5bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08955",
    "kind": "arxiv",
    "version": 4
  }
}