Pith Number

pith:Z4MF63SR

pith:2021:Z4MF63SR6XFP43DNJ4TF63S6YZ

not attested not anchored not stored refs pending

Williamson theorem in classical, quantum, and statistical physics

F. Nicacio

arxiv:2106.11965 v2 · 2021-06-22 · quant-ph · cond-mat.stat-mech · 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{Z4MF63SR6XFP43DNJ4TF63S6YZ}

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.

Cited by

1 paper in Pith

Hidden quantum-informatic symmetries of quasi-de Sitter backgrounds

Receipt and verification

First computed	2026-07-05T03:33:45.112431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf185f6e51f5cafe6c6d4f265f6e5ec67e627b3f08a67087f3d0bb6ecb39cf81

Aliases

arxiv: 2106.11965 · arxiv_version: 2106.11965v2 · doi: 10.48550/arxiv.2106.11965 · pith_short_12: Z4MF63SR6XFP · pith_short_16: Z4MF63SR6XFP43DN · pith_short_8: Z4MF63SR

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/Z4MF63SR6XFP43DNJ4TF63S6YZ \
  | 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: cf185f6e51f5cafe6c6d4f265f6e5ec67e627b3f08a67087f3d0bb6ecb39cf81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f93519a54da0bac52c653bc22fcb0babfb22c2550b30d829c6ad0548fd11e5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-06-22T17:59:59Z",
    "title_canon_sha256": "73aa3bc2eba40614bd996dc94d44dc1708e4a51c8870c9a6caface8b3c476432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11965",
    "kind": "arxiv",
    "version": 2
  }
}