Pith Number

pith:BD3DQVXJ

pith:2026:BD3DQVXJUJA555PAHV7QLWJOA6

not attested not anchored not stored refs pending

Calculus of Robinet: completely positive reconstruction of time-averaged diffusive quantum trajectories

Antoine Tilloy, Hector Hutin

arxiv:2607.18392 v1 · 2026-07-20 · 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{BD3DQVXJUJA555PAHV7QLWJOA6}

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	2026-07-22T00:22:46.083957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f63856e9a241def5e03d7f05d92e07920a31aea7b08ed5ecd75e22fd66cf8b

Aliases

arxiv: 2607.18392 · arxiv_version: 2607.18392v1 · doi: 10.48550/arxiv.2607.18392 · pith_short_12: BD3DQVXJUJA5 · pith_short_16: BD3DQVXJUJA555PA · pith_short_8: BD3DQVXJ

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/BD3DQVXJUJA555PAHV7QLWJOA6 \
  | 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: 08f63856e9a241def5e03d7f05d92e07920a31aea7b08ed5ecd75e22fd66cf8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e84be003c98287878de9eac1445b7bc04a6951f8fd08a5821d34eb004582c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-20T18:00:05Z",
    "title_canon_sha256": "9ef63799cdcd95ff58e83a49f3d9150051b9c870b9c93a34717201d67ab57355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18392",
    "kind": "arxiv",
    "version": 1
  }
}