Pith Number

pith:JGRRPZU5

pith:2018:JGRRPZU5XAZM6IQRIZXFMRQ7UG

not attested not anchored not stored refs pending

Information and contact geometric description of expectation variables exactly derived from master equations

Hideitsu Hino, Shin-itiro Goto

arxiv:1805.10592 v2 · 2018-05-27 · math-ph · cond-mat.stat-mech · 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{JGRRPZU5XAZM6IQRIZXFMRQ7UG}

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	2026-05-18T00:01:43.403805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49a317e69db832cf2211466e56461fa19b3a1cf851022a21321c999c3d14cb39

Aliases

arxiv: 1805.10592 · arxiv_version: 1805.10592v2 · doi: 10.48550/arxiv.1805.10592 · pith_short_12: JGRRPZU5XAZM · pith_short_16: JGRRPZU5XAZM6IQR · pith_short_8: JGRRPZU5

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/JGRRPZU5XAZM6IQRIZXFMRQ7UG \
  | 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: 49a317e69db832cf2211466e56461fa19b3a1cf851022a21321c999c3d14cb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b865905f134f0dae7500727669cef43d69908b658ea2d831c92ffde141c1c3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-05-27T07:32:58Z",
    "title_canon_sha256": "a7f7324912ecfe96d0fb16561c48dc773f1afd1c4b7d3d111624f0bf8b91b465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10592",
    "kind": "arxiv",
    "version": 2
  }
}