Pith Number

pith:TY5AM3CF

pith:2016:TY5AM3CFCBTQ5BLL3MLRCY5L3U

not attested not anchored not stored refs pending

Gauge invariance of thermal transport coefficients

Aris Marcolongo, Loris Ercole, Paolo Umari, Stefano Baroni

arxiv:1601.00158 v2 · 2016-01-02 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY5AM3CFCBTQ5BLL3MLRCY5L3U}

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	2026-05-18T00:42:49.021285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3a066c4510670e856bdb171163abdd182dab5f43acd71ea1d9601aafbaf30f

Aliases

arxiv: 1601.00158 · arxiv_version: 1601.00158v2 · doi: 10.48550/arxiv.1601.00158 · pith_short_12: TY5AM3CFCBTQ · pith_short_16: TY5AM3CFCBTQ5BLL · pith_short_8: TY5AM3CF

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/TY5AM3CFCBTQ5BLL3MLRCY5L3U \
  | 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: 9e3a066c4510670e856bdb171163abdd182dab5f43acd71ea1d9601aafbaf30f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851d2b6be415f0c4496c523c8ff7b34bf4d9ce6ced3964af4e7ba6ddf5aac1e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-01-02T10:04:10Z",
    "title_canon_sha256": "711fd9c693f1998dcf8bc77665e85f45a3a2dc4da688a2fa63fda141044d46a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00158",
    "kind": "arxiv",
    "version": 2
  }
}