Pith Number

pith:IWKM6TAN

pith:2010:IWKM6TANSYDGAZXKTCRC2CA627

not attested not anchored not stored refs pending

Average Entanglement for Markovian Quantum Trajectories

Dominique Spehner, Sylvain Vogelsberger

arxiv:1006.1317 v3 · 2010-06-07 · 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{IWKM6TANSYDGAZXKTCRC2CA627}

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	2026-05-18T03:23:48.486073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4594cf4c0d96066066ea98a22d081ed7eb784f0904731d4058d24ba123ff8711

Aliases

arxiv: 1006.1317 · arxiv_version: 1006.1317v3 · doi: 10.48550/arxiv.1006.1317 · pith_short_12: IWKM6TANSYDG · pith_short_16: IWKM6TANSYDGAZXK · pith_short_8: IWKM6TAN

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/IWKM6TANSYDGAZXKTCRC2CA627 \
  | 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: 4594cf4c0d96066066ea98a22d081ed7eb784f0904731d4058d24ba123ff8711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339e0ed879c4e56e3eb36440dd275aee1bbfe9f8737dfe935bb743bc94cac7c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-07T18:23:27Z",
    "title_canon_sha256": "a2f63b39872953e1c9f2a70348961099327033c2684a3b9484572fae2296ba6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1317",
    "kind": "arxiv",
    "version": 3
  }
}