Pith Number

pith:KZCO2QVO

pith:2016:KZCO2QVOZZFD47MCVQKJSZ4QHW

not attested not anchored not stored refs pending

The semi-classical scattering matrix from the point of view of Gaussian states

Maxime Ingremeau

arxiv:1612.06783 v3 · 2016-12-20 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZCO2QVOZZFD47MCVQKJSZ4QHW}

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	2026-05-18T00:03:00.462779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5644ed42aece4a3e7d82ac149967903d9af8643bcda0fa0782433a813acb20e4

Aliases

arxiv: 1612.06783 · arxiv_version: 1612.06783v3 · doi: 10.48550/arxiv.1612.06783 · pith_short_12: KZCO2QVOZZFD · pith_short_16: KZCO2QVOZZFD47MC · pith_short_8: KZCO2QVO

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/KZCO2QVOZZFD47MCVQKJSZ4QHW \
  | 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: 5644ed42aece4a3e7d82ac149967903d9af8643bcda0fa0782433a813acb20e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20854571992b360dd6758a3db63cdafaab7266960df4dc79f2613f62bcd6e7c2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-20T17:52:50Z",
    "title_canon_sha256": "d4efc88c80f6c2bd26bcdba472c88109d7b5851b1a213cfd3b5b3380022f6910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06783",
    "kind": "arxiv",
    "version": 3
  }
}