Pith Number

pith:NID5NGMZ

pith:2015:NID5NGMZXSSTAB6J562SDUMJTJ

not attested not anchored not stored refs pending

Mixtures of relativistic gases in gravitational fields: combined Chapman-Enskog and Grad method and the Onsager relations

Gilberto M. Kremer, Valdemar Moratto

arxiv:1503.05758 v2 · 2015-03-19 · 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{NID5NGMZXSSTAB6J562SDUMJTJ}

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	2026-05-18T01:33:33.774291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a07d69999bca53007c9efb521d1899a5259baa0cb9a3d97262f54bece262563

Aliases

arxiv: 1503.05758 · arxiv_version: 1503.05758v2 · doi: 10.48550/arxiv.1503.05758 · pith_short_12: NID5NGMZXSST · pith_short_16: NID5NGMZXSSTAB6J · pith_short_8: NID5NGMZ

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/NID5NGMZXSSTAB6J562SDUMJTJ \
  | 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: 6a07d69999bca53007c9efb521d1899a5259baa0cb9a3d97262f54bece262563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ec09545a35f8bf0de767d06e25e2070b714d277c5386259496fc49277e0dc49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-03-19T13:22:32Z",
    "title_canon_sha256": "a934662be833740aa9ab8cb69be31cda81c31d3d8a9c16fcf38acff8df26fe02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05758",
    "kind": "arxiv",
    "version": 2
  }
}