Pith Number

pith:3REDMVWT

pith:2026:3REDMVWT5ZFLYAKBCUQQPB33JC

not attested not anchored not stored refs pending

Purified Projection Method and Uhlmann Fidelity for Mixed Hartree Dynamics

Hao Liang, Zhenfu Wang

arxiv:2605.28685 v1 · 2026-05-27 · 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{3REDMVWT5ZFLYAKBCUQQPB33JC}

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	2026-05-28T02:04:59.811599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc483656d3ee4abc0141152107877b48965969fdb6b28a032f40f53c9f3c5f7f

Aliases

arxiv: 2605.28685 · arxiv_version: 2605.28685v1 · doi: 10.48550/arxiv.2605.28685 · pith_short_12: 3REDMVWT5ZFL · pith_short_16: 3REDMVWT5ZFLYAKB · pith_short_8: 3REDMVWT

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/3REDMVWT5ZFLYAKBCUQQPB33JC \
  | 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: dc483656d3ee4abc0141152107877b48965969fdb6b28a032f40f53c9f3c5f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9512e33cfeb6f71f6bfedeb998272129f48ba159c25916776e5db4873f1884",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-27T16:15:50Z",
    "title_canon_sha256": "1bba351c4d5e35fda1bacce9357088117b88b2b5ee8a555ed5d7ae793c59af9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28685",
    "kind": "arxiv",
    "version": 1
  }
}