Pith Number

pith:KZ4ZPMHN

pith:2021:KZ4ZPMHNWCPMNEPAYTBTREXQMS

not attested not anchored not stored refs pending

A topological fluctuation theorem

Beno\^it Mahault, Evelyn Tang, Ramin Golestanian

arxiv:2108.11110 v1 · 2021-08-25 · 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{KZ4ZPMHNWCPMNEPAYTBTREXQMS}

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	2026-07-05T04:37:18.052549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567997b0edb09ec691e0c4c33892f064a4f3177aa934b529ca198927e71bc6d3

Aliases

arxiv: 2108.11110 · arxiv_version: 2108.11110v1 · doi: 10.48550/arxiv.2108.11110 · pith_short_12: KZ4ZPMHNWCPM · pith_short_16: KZ4ZPMHNWCPMNEPA · pith_short_8: KZ4ZPMHN

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/KZ4ZPMHNWCPMNEPAYTBTREXQMS \
  | 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: 567997b0edb09ec691e0c4c33892f064a4f3177aa934b529ca198927e71bc6d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f7f26fd172adcf89ce25024bebb6f2fdbcbd27c55e13cb220855846ee9af72",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-08-25T08:23:51Z",
    "title_canon_sha256": "4dd13ed686bd6a47b463163235f3eeb7cb7db6fab1ea93321a15e35f93a23901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11110",
    "kind": "arxiv",
    "version": 1
  }
}