Pith Number

pith:LSSCJMOD

pith:2023:LSSCJMODVMPJTZG3VBADSB7RVX

not attested not anchored not stored refs pending

Mathematical aspects of the Kubo formula for electrical conductivity with dissipation

Alexander B. Watson, Dionisios Margetis, Mitchell Luskin

arxiv:2304.04303 v2 · 2023-04-09 · 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{LSSCJMODVMPJTZG3VBADSB7RVX}

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	2026-07-05T06:40:33.083583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca424b1c3ab1e99e4dba8403907f1adf0fda155950a435946ad50646fc15d97

Aliases

arxiv: 2304.04303 · arxiv_version: 2304.04303v2 · doi: 10.48550/arxiv.2304.04303 · pith_short_12: LSSCJMODVMPJ · pith_short_16: LSSCJMODVMPJTZG3 · pith_short_8: LSSCJMOD

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/LSSCJMODVMPJTZG3VBADSB7RVX \
  | 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: 5ca424b1c3ab1e99e4dba8403907f1adf0fda155950a435946ad50646fc15d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf73b75a4964522f4c886fbbfdb5c122900e654d8bd714565c546a9f1e99cbdd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-04-09T19:41:05Z",
    "title_canon_sha256": "93c05258ecc237420fe259cbf16b9e359fe7af475dddb10f11dae01ec09d4dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04303",
    "kind": "arxiv",
    "version": 2
  }
}