Pith. sign in
Pith Number

pith:2QUSDM2J

pith:2020:2QUSDM2J4ZJWCGBI7QMBM4C3TK
not attested not anchored not stored refs pending

First law of black hole mechanics with fermions

Amitabh Virmani, P. B. Aneesh, Sk Jahanur Hoque, Sumanta Chakraborty

arxiv:2004.10215 v2 · 2020-04-21 · hep-th · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2QUSDM2J4ZJWCGBI7QMBM4C3TK}

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 2026-07-05T01:46:51.136823Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d42921b349e653611828fc1816705b9a83f567f3c4a3b6bb9dc41bab17fb7739

Aliases

arxiv: 2004.10215 · arxiv_version: 2004.10215v2 · doi: 10.48550/arxiv.2004.10215 · pith_short_12: 2QUSDM2J4ZJW · pith_short_16: 2QUSDM2J4ZJWCGBI · pith_short_8: 2QUSDM2J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2QUSDM2J4ZJWCGBI7QMBM4C3TK \
  | 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: d42921b349e653611828fc1816705b9a83f567f3c4a3b6bb9dc41bab17fb7739
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "51abf0c05e542538469f151b5ff2742cf883ad232a87cc9540e8cc2d45812040",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-04-21T18:00:10Z",
    "title_canon_sha256": "6a029a4eead1cae334a78aab9e5185adb5fa07b3c4bc7b0c9905afa17467049f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10215",
    "kind": "arxiv",
    "version": 2
  }
}