Pith Number

pith:CB7GDVNJ

pith:2012:CB7GDVNJM36ZHFMVSNOAKKO35V

not attested not anchored not stored refs pending

Derivation of relativistic hydrodynamic equations consistent with relativistic Boltzmann equation by renormalization-group method

Kyosuke Tsumura, Teiji Kunihiro

arxiv:1206.1929 v2 · 2012-06-09 · nucl-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CB7GDVNJM36ZHFMVSNOAKKO35V}

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	2026-05-18T01:57:00.334900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

107e61d5a966fd939595935c0529dbed71ccf8d0b4ded10ee85a7a40c8e2efe8

Aliases

arxiv: 1206.1929 · arxiv_version: 1206.1929v2 · doi: 10.48550/arxiv.1206.1929 · pith_short_12: CB7GDVNJM36Z · pith_short_16: CB7GDVNJM36ZHFMV · pith_short_8: CB7GDVNJ

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/CB7GDVNJM36ZHFMVSNOAKKO35V \
  | 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: 107e61d5a966fd939595935c0529dbed71ccf8d0b4ded10ee85a7a40c8e2efe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8797eeeb0e44dd32773db2669a22cd8e9835cf701c6f98d3adfc946d8d25abc0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2012-06-09T11:04:16Z",
    "title_canon_sha256": "a9c019cb6a02029c33f637c84cbccd012306be828d477f3dacb845b84d420dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1929",
    "kind": "arxiv",
    "version": 2
  }
}