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Pith Number

pith:C5PAPHKY

pith:2009:C5PAPHKYK4VR2SFMRNR3H33VYE
not attested not anchored not stored refs pending

Black brane entropy and hydrodynamics: the boost-invariant case

Ivan Booth, Michal P. Heller, Michal Spalinski

arxiv:0910.0748 v1 · 2009-10-05 · hep-th · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C5PAPHKYK4VR2SFMRNR3H33VYE}

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 2026-05-18T02:11:26.748654Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

175e079d58572b1d48ac8b63b3ef75c13244bab075adc722e56589206bfe2f7f

Aliases

arxiv: 0910.0748 · arxiv_version: 0910.0748v1 · doi: 10.48550/arxiv.0910.0748 · pith_short_12: C5PAPHKYK4VR · pith_short_16: C5PAPHKYK4VR2SFM · pith_short_8: C5PAPHKY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C5PAPHKYK4VR2SFMRNR3H33VYE \
  | 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: 175e079d58572b1d48ac8b63b3ef75c13244bab075adc722e56589206bfe2f7f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "df6da6f23d18921375b52ffcd5e52b82754dbed706314d16c8cc4fe006495b8f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-05T12:33:06Z",
    "title_canon_sha256": "d0148bc2dcd7eb41c033466d45c78118714a4dc8b30bd0fca3498f3888ea3901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0748",
    "kind": "arxiv",
    "version": 1
  }
}