Pith Number

pith:QX3UXU42

pith:2010:QX3UXU42ZBBUMMEKNKVXQWUJCU

not attested not anchored not stored refs pending

Quantum Stochastic Dynamics in Multi-Photon Optics

Ricardo Castro Santis

arxiv:1010.6004 v2 · 2010-10-28 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX3UXU42ZBBUMMEKNKVXQWUJCU}

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	2026-05-18T02:54:47.510492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f74bd39ac84346308a6aab785a89151ff3034a159bd1778ef18bfd741497a3

Aliases

arxiv: 1010.6004 · arxiv_version: 1010.6004v2 · doi: 10.48550/arxiv.1010.6004 · pith_short_12: QX3UXU42ZBBU · pith_short_16: QX3UXU42ZBBUMMEK · pith_short_8: QX3UXU42

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/QX3UXU42ZBBUMMEKNKVXQWUJCU \
  | 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: 85f74bd39ac84346308a6aab785a89151ff3034a159bd1778ef18bfd741497a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c6961a898de6d8fd031592e8ff1523e5f3ec7aa1975a725629ba3f062c2375",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-28T16:03:53Z",
    "title_canon_sha256": "9e7066c68bcdc0f5cf62aa2f548ca0c35c4422c554f8a1dc3032725458f18855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6004",
    "kind": "arxiv",
    "version": 2
  }
}