Pith Number

pith:ZJYUOC4V

pith:2017:ZJYUOC4VNGSYIK56IEDA2NO2UY

not attested not anchored not stored refs pending

Entropy Anomaly in Langevin-Kramers Dynamics with a Temperature Gradient, Matrix Drag, and Magnetic Field

Jeremiah Birrell

arxiv:1709.06981 v2 · 2017-09-20 · 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{ZJYUOC4VNGSYIK56IEDA2NO2UY}

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	2026-05-18T00:03:09.473177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca71470b9569a5842bbe41060d35daa60fa9ef631b227938e0b2847c27bb3870

Aliases

arxiv: 1709.06981 · arxiv_version: 1709.06981v2 · doi: 10.48550/arxiv.1709.06981 · pith_short_12: ZJYUOC4VNGSY · pith_short_16: ZJYUOC4VNGSYIK56 · pith_short_8: ZJYUOC4V

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/ZJYUOC4VNGSYIK56IEDA2NO2UY \
  | 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: ca71470b9569a5842bbe41060d35daa60fa9ef631b227938e0b2847c27bb3870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3eb6dfcd04425bf9e0a3198a17fc63a3f968a93d98ab8754f28353f5a768c9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-09-20T17:34:37Z",
    "title_canon_sha256": "c95e1dbe4ee6876a3d7d3322dc92d26f76cb7785a0a5093516d0ee6baed2783c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06981",
    "kind": "arxiv",
    "version": 2
  }
}