Pith Number

pith:ZSJWRNM5

pith:2016:ZSJWRNM5WEXFJT5MHZ6K5AFBCU

not attested not anchored not stored refs pending

Exact solution of the two-axis countertwisting Hamiltonian for the half-integer $J$ case

Feng Pan, Jerry P. Draayer, Yao-Zhong Zhang

arxiv:1610.05905 v2 · 2016-10-19 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSJWRNM5WEXFJT5MHZ6K5AFBCU}

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	2026-05-18T00:51:07.040235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc9368b59db12e54cfac3e7cae80a11510e5fce0b5ed45b2d0b8b80d5336202a

Aliases

arxiv: 1610.05905 · arxiv_version: 1610.05905v2 · doi: 10.48550/arxiv.1610.05905 · pith_short_12: ZSJWRNM5WEXF · pith_short_16: ZSJWRNM5WEXFJT5M · pith_short_8: ZSJWRNM5

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/ZSJWRNM5WEXFJT5MHZ6K5AFBCU \
  | 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: cc9368b59db12e54cfac3e7cae80a11510e5fce0b5ed45b2d0b8b80d5336202a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d607c2ca6cc4a28a6e3a72a445b2aba72195b516b8b19da011ffa5a1e2b82fe6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-19T08:20:27Z",
    "title_canon_sha256": "5f89bf1de4f1a4c2ba54e7479f2560428c66000b8a74dced1ed534e3cc58efd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05905",
    "kind": "arxiv",
    "version": 2
  }
}