Pith Number

pith:PPR33O3S

pith:2018:PPR33O3SB6QRMWYVQVSZEGGT7M

not attested not anchored not stored refs pending

Differential geometry of time-dependent $\mathcal{PT}$-symmetric quantum mechanics

Da-Jian Zhang, Jiangbin Gong, Qing-hai Wang

arxiv:1811.04640 v1 · 2018-11-12 · 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{PPR33O3SB6QRMWYVQVSZEGGT7M}

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	2026-05-18T00:01:04.478327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be3bdbb720fa1165b1585659218d3fb169900779843eec84dd93c69c43861a4

Aliases

arxiv: 1811.04640 · arxiv_version: 1811.04640v1 · doi: 10.48550/arxiv.1811.04640 · pith_short_12: PPR33O3SB6QR · pith_short_16: PPR33O3SB6QRMWYV · pith_short_8: PPR33O3S

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/PPR33O3SB6QRMWYVQVSZEGGT7M \
  | 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: 7be3bdbb720fa1165b1585659218d3fb169900779843eec84dd93c69c43861a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c737dc94bf88b85882de40858e782139c24b77018aa9b49e87d482c42c6255c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-12T10:30:28Z",
    "title_canon_sha256": "dec6f72499a8b23ed05e8fcaac269c410df7af8bf6e8e9ec9deb5673bbea36bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04640",
    "kind": "arxiv",
    "version": 1
  }
}