Pith Number

pith:CVSZAPXM

pith:2015:CVSZAPXMMNH5VYLFRDLKBGJZMQ

not attested not anchored not stored refs pending

A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility

A. Mielke, D. R. M. Renger, M. A. Peletier

arxiv:1510.06219 v2 · 2015-10-21 · cond-mat.stat-mech · math.DS · math.PR · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVSZAPXMMNH5VYLFRDLKBGJZMQ}

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	2026-05-18T00:03:26.490390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1565903eec634fdae16588d6a09939641226ae345b1d8e9e19be60e3f36db9d0

Aliases

arxiv: 1510.06219 · arxiv_version: 1510.06219v2 · doi: 10.48550/arxiv.1510.06219 · pith_short_12: CVSZAPXMMNH5 · pith_short_16: CVSZAPXMMNH5VYLF · pith_short_8: CVSZAPXM

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/CVSZAPXMMNH5VYLFRDLKBGJZMQ \
  | 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: 1565903eec634fdae16588d6a09939641226ae345b1d8e9e19be60e3f36db9d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c3e9fbc8737479512378ce9ee9c2ae2b22babe6b97a33f081a5539dbcec45d",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-21T11:48:15Z",
    "title_canon_sha256": "bcd5bf56b45e883ba503d7e2fbc638d84aa5d0db0ddbe259f3431ed5e2d7a99a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06219",
    "kind": "arxiv",
    "version": 2
  }
}