Pith Number

pith:O32IKMYS

pith:2025:O32IKMYSJPO4WSM2KN3MPSWN4Z

not attested not anchored not stored refs pending

P-divisibility conditions on subsystems in quantum dynamics

Anumita Mukhopadhyay, Praggnyamita Ghosh, Shibdas Roy

arxiv:2508.07188 v4 · 2025-08-10 · 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{O32IKMYSJPO4WSM2KN3MPSWN4Z}

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	2026-06-02T02:04:07.698676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f48533124bddcb499a5376c7cacde6512f23181a4b9d2ed504a05b96ae1266

Aliases

arxiv: 2508.07188 · arxiv_version: 2508.07188v4 · doi: 10.48550/arxiv.2508.07188 · pith_short_12: O32IKMYSJPO4 · pith_short_16: O32IKMYSJPO4WSM2 · pith_short_8: O32IKMYS

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/O32IKMYSJPO4WSM2KN3MPSWN4Z \
  | 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: 76f48533124bddcb499a5376c7cacde6512f23181a4b9d2ed504a05b96ae1266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1f8e48fc9b530331d5f20b26401e19af6ff55b098cbfc407908a8a15ac8513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-08-10T05:34:27Z",
    "title_canon_sha256": "35b2859c83d0c63c9c1195faae01bdc4764bd1e1191170a3a475d43c86ba661f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07188",
    "kind": "arxiv",
    "version": 4
  }
}