Pith Number

pith:C543FTBK

pith:2024:C543FTBKKVFEGTUXBWXF6GACZA

not attested not anchored not stored refs pending

Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands

B. Q. Song, J. D. H. Smith, J. Wang, T. Jiang, Y. X. Yao

arxiv:2406.15845 v2 · 2024-06-22 · 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{C543FTBKKVFEGTUXBWXF6GACZA}

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	2026-07-05T09:58:58.800026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1779b2cc2a554a434e970dae5f1802c82b88b98ce0e6727af936c1e8f92d5632

Aliases

arxiv: 2406.15845 · arxiv_version: 2406.15845v2 · doi: 10.48550/arxiv.2406.15845 · pith_short_12: C543FTBKKVFE · pith_short_16: C543FTBKKVFEGTUX · pith_short_8: C543FTBK

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/C543FTBKKVFEGTUXBWXF6GACZA \
  | 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: 1779b2cc2a554a434e970dae5f1802c82b88b98ce0e6727af936c1e8f92d5632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53903e8d62f8e9e56825991dcb5e1f84dc83c80ddaa99bf340c29ceea3b3a32c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-06-22T13:16:51Z",
    "title_canon_sha256": "f2a669a12e44f15e76e0f91b1620290e8269eb29ed77b025d95dae12c4962fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.15845",
    "kind": "arxiv",
    "version": 2
  }
}