Pith Number

pith:RC7ZYI3I

pith:2012:RC7ZYI3IPN6DUKLCJ5KXLQG3XV

not attested not anchored not stored refs pending

PT Symmetry in Classical and Quantum Statistical Mechanics

Michael C. Ogilvie, Peter N. Meisinger

arxiv:1208.5077 v1 · 2012-08-24 · math-ph · cond-mat.stat-mech · hep-lat · 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{RC7ZYI3IPN6DUKLCJ5KXLQG3XV}

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	2026-05-18T01:54:58.379168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88bf9c23687b7c3a29624f5575c0dbbd7824bd54f492b7c4a13596f4f13a4de3

Aliases

arxiv: 1208.5077 · arxiv_version: 1208.5077v1 · doi: 10.48550/arxiv.1208.5077 · pith_short_12: RC7ZYI3IPN6D · pith_short_16: RC7ZYI3IPN6DUKLC · pith_short_8: RC7ZYI3I

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/RC7ZYI3IPN6DUKLCJ5KXLQG3XV \
  | 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: 88bf9c23687b7c3a29624f5575c0dbbd7824bd54f492b7c4a13596f4f13a4de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7307f1e7c349496a64bdc9715b94d66b39e779309b155015d7e155daa16ec8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-lat",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-24T22:40:18Z",
    "title_canon_sha256": "1a0ada11be3f4c5a849d877ff28bebc58c2cc2bf62b7c895d4ce0ec3d6d59bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5077",
    "kind": "arxiv",
    "version": 1
  }
}