Pith Number

pith:PXYRE76S

pith:2019:PXYRE76S45AV6ADNMG4A4QOJJ6

not attested not anchored not stored refs pending

From deterministic dynamics to thermodynamic laws II: Fourier's law and mesoscopic limit equation

Yao Li

arxiv:1908.06219 v2 · 2019-08-17 · 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{PXYRE76S45AV6ADNMG4A4QOJJ6}

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	2026-07-05T00:35:33.201727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df1127fd2e7415f006d61b80e41c94fb57280a98c18beac3a0f2b8b7833d4d7

Aliases

arxiv: 1908.06219 · arxiv_version: 1908.06219v2 · doi: 10.48550/arxiv.1908.06219 · pith_short_12: PXYRE76S45AV · pith_short_16: PXYRE76S45AV6ADN · pith_short_8: PXYRE76S

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/PXYRE76S45AV6ADNMG4A4QOJJ6 \
  | 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: 7df1127fd2e7415f006d61b80e41c94fb57280a98c18beac3a0f2b8b7833d4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1cb4b506a5ae71ded849a76a3d67c3f7cc8d7a6de21d0ed8241f1a05a98fc8a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-17T01:24:24Z",
    "title_canon_sha256": "34da6814c76c17268e55be2836fd33578532b5996fe9fdea88d120e0fe4ba4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06219",
    "kind": "arxiv",
    "version": 2
  }
}