Pith Number

pith:D36BURZV

pith:2016:D36BURZVIS6OP5DEJ2OAWVK7J2

not attested not anchored not stored refs pending

Classical and Quantum Part of the Environment for Quantum Langevin Equations

Ivan Bardet (ICJ), St\'ephane Attal (ICJ)

arxiv:1610.02954 v1 · 2016-10-10 · math-ph · math.MP · math.OA · math.PR · 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{D36BURZVIS6OP5DEJ2OAWVK7J2}

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	2026-05-18T01:02:50.320051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1efc1a473544bce7f4644e9c0b555f4e8f3c84518b37bdac60324ad34c0f20ec

Aliases

arxiv: 1610.02954 · arxiv_version: 1610.02954v1 · doi: 10.48550/arxiv.1610.02954 · pith_short_12: D36BURZVIS6O · pith_short_16: D36BURZVIS6OP5DE · pith_short_8: D36BURZV

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/D36BURZVIS6OP5DEJ2OAWVK7J2 \
  | 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: 1efc1a473544bce7f4644e9c0b555f4e8f3c84518b37bdac60324ad34c0f20ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71c80f25cde1a182c258d6d50e57e3bcd3313895083b6fa2eb543a74ca94a48",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-10T15:13:24Z",
    "title_canon_sha256": "ba1d4653e9bbafc5111cd05f2513ffe39941c1f0058ca2d927695ee05cb4b909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02954",
    "kind": "arxiv",
    "version": 1
  }
}