Pith Number

pith:4TNJ4NMD

pith:2011:4TNJ4NMDEF2G5CNXZRXFFEFA2Q

not attested not anchored not stored refs pending

Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction

Robert W. Spekkens, Stephen D. Bartlett, Terry Rudolph

arxiv:1111.5057 v2 · 2011-11-21 · 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{4TNJ4NMDEF2G5CNXZRXFFEFA2Q}

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	2026-05-18T03:51:23.643363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4da9e358321746e89b7cc6e5290a0d435b9bd15b864b59bb3c29c42c14e2c9f

Aliases

arxiv: 1111.5057 · arxiv_version: 1111.5057v2 · doi: 10.48550/arxiv.1111.5057 · pith_short_12: 4TNJ4NMDEF2G · pith_short_16: 4TNJ4NMDEF2G5CNX · pith_short_8: 4TNJ4NMD

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/4TNJ4NMDEF2G5CNXZRXFFEFA2Q \
  | 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: e4da9e358321746e89b7cc6e5290a0d435b9bd15b864b59bb3c29c42c14e2c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be047fc306531b4da02007048dbf8062586ba8c020b1e530c7c741b9942cb42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-21T23:14:52Z",
    "title_canon_sha256": "c26da5b8de06855371fc686e3085eec260d813ac22c4568b60bca8226a6e7631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5057",
    "kind": "arxiv",
    "version": 2
  }
}