Pith Number

pith:6NM7IN4Q

pith:2018:6NM7IN4QMVBHNAAAJSWZQC6K2Q

not attested not anchored not stored refs pending

Kubo formulas for thermodynamic transport coefficients

Ashish Shukla, Pavel Kovtun

arxiv:1806.05774 v2 · 2018-06-15 · hep-th · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NM7IN4QMVBHNAAAJSWZQC6K2Q}

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

3 papers in Pith

Ricci cosmology

Carroll hydrodynamics with spin

Universal analytic dependence of the stress-energy tensor at thermodynamic equilibrium in curved space-time

Receipt and verification

First computed	2026-05-18T00:04:07.596452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f359f4379065427680004cad980bcad4192ccacbbd58fd1f9a08ec6437b1271c

Aliases

arxiv: 1806.05774 · arxiv_version: 1806.05774v2 · doi: 10.48550/arxiv.1806.05774 · pith_short_12: 6NM7IN4QMVBH · pith_short_16: 6NM7IN4QMVBHNAAA · pith_short_8: 6NM7IN4Q

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/6NM7IN4QMVBHNAAAJSWZQC6K2Q \
  | 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: f359f4379065427680004cad980bcad4192ccacbbd58fd1f9a08ec6437b1271c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e98934169d5c1569936208f0f28474d37a29ef40fb4372c73b5feb7e167f344",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-06-15T00:19:48Z",
    "title_canon_sha256": "801f229ee4cde7b51c7aecc5d31f8c379c46352c3df8054255636fd109e11b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05774",
    "kind": "arxiv",
    "version": 2
  }
}