Pith Number

pith:ZRQYJIBG

pith:2012:ZRQYJIBGM7BXV35KZIMFGT5KFB

not attested not anchored not stored refs pending

Broken Z2 symmetries and fluctuations in statistical mechanics

Pierre Gaspard

arxiv:1206.1547 v1 · 2012-06-07 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRQYJIBGM7BXV35KZIMFGT5KFB}

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	2026-05-18T01:17:26.325705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6184a02667c37aefaaca18534faa28667b9d8c475c0dfc3a5f16cc1964dba3

Aliases

arxiv: 1206.1547 · arxiv_version: 1206.1547v1 · doi: 10.48550/arxiv.1206.1547 · pith_short_12: ZRQYJIBGM7BX · pith_short_16: ZRQYJIBGM7BXV35K · pith_short_8: ZRQYJIBG

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/ZRQYJIBGM7BXV35KZIMFGT5KFB \
  | 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: cc6184a02667c37aefaaca18534faa28667b9d8c475c0dfc3a5f16cc1964dba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a36d082371f028cfe567f7eeb25eb84c1b36729b746fe3fb9ad5639ff1a5d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-07T16:34:19Z",
    "title_canon_sha256": "8f2e6406cd1f2c78d68cf5cca6504f0c7e374f0f110612723387064bc3f8a117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1547",
    "kind": "arxiv",
    "version": 1
  }
}