Pith Number

pith:CXP3OOUW

pith:2020:CXP3OOUWEB26O6MZPJ3LR2BXF4

not attested not anchored not stored refs pending

Free energy fluxes and the Kubo-Martin-Schwinger relation

Benjamin Doyon, Joseph Durnin

arxiv:2007.09113 v2 · 2020-07-17 · 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{CXP3OOUWEB26O6MZPJ3LR2BXF4}

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

Ballistic macroscopic fluctuation theory via mapping to point particles

Receipt and verification

First computed	2026-07-05T02:39:41.646934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15dfb73a962075e779997a76b8e8372f392d98e040e65e50c3bcfbf3f0caa57a

Aliases

arxiv: 2007.09113 · arxiv_version: 2007.09113v2 · doi: 10.48550/arxiv.2007.09113 · pith_short_12: CXP3OOUWEB26 · pith_short_16: CXP3OOUWEB26O6MZ · pith_short_8: CXP3OOUW

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/CXP3OOUWEB26O6MZPJ3LR2BXF4 \
  | 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: 15dfb73a962075e779997a76b8e8372f392d98e040e65e50c3bcfbf3f0caa57a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4bd0e7351cfa4b8eb4bda3444b030af13bb2959878ff88d8e8a7f5a412a44c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-07-17T16:51:48Z",
    "title_canon_sha256": "3a8f11d7d2f32d46f5ef9b7e899b0c97f516b87d9fa41f88a6e216ddd1ace77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09113",
    "kind": "arxiv",
    "version": 2
  }
}