pith. sign in
Pith Number

pith:4H3KPVFX

pith:2013:4H3KPVFX4J7V3CTTWZ5653PBA3
not attested not anchored not stored refs pending

Finite-time thermodynamics of port-Hamiltonian systems

Henrik Sandberg, Jean-Charles Delvenne

arxiv:1308.1213 v1 · 2013-08-06 · cond-mat.stat-mech · math.DS · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4H3KPVFX4J7V3CTTWZ5653PBA3}

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 2026-05-18T01:48:23.359059Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1f6a7d4b7e27f5d8a73b67beeede106d152f6079954ecc50833ecceb19ece8d

Aliases

arxiv: 1308.1213 · arxiv_version: 1308.1213v1 · doi: 10.48550/arxiv.1308.1213 · pith_short_12: 4H3KPVFX4J7V · pith_short_16: 4H3KPVFX4J7V3CTT · pith_short_8: 4H3KPVFX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4H3KPVFX4J7V3CTTWZ5653PBA3 \
  | 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: e1f6a7d4b7e27f5d8a73b67beeede106d152f6079954ecc50833ecceb19ece8d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "279cedcae990afeddbb1d4b24fec86a4c4895b1e3df4acfafce227f11b11d1c8",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-08-06T09:19:56Z",
    "title_canon_sha256": "2cddab937a2da19ac4f22522abe48babe24cbcc45cc3eda2923ae5dca75ab709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1213",
    "kind": "arxiv",
    "version": 1
  }
}