Pith Number

pith:TMZEC6W4

pith:2016:TMZEC6W4YS25LCYGOB3XIATCSV

not attested not anchored not stored refs pending

First law of black hole mechanics in variable background fields

Shao-Feng Wu, Xian-Hui Ge, Yu-Xiao Liu

arxiv:1602.08661 v4 · 2016-02-28 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMZEC6W4YS25LCYGOB3XIATCSV}

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.

Cited by

1 paper in Pith

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T00:42:51.811565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b32417adcc4b5d58b06707774026295535f07730c61e976c53105368b611b08

Aliases

arxiv: 1602.08661 · arxiv_version: 1602.08661v4 · doi: 10.48550/arxiv.1602.08661 · pith_short_12: TMZEC6W4YS25 · pith_short_16: TMZEC6W4YS25LCYG · pith_short_8: TMZEC6W4

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/TMZEC6W4YS25LCYGOB3XIATCSV \
  | 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: 9b32417adcc4b5d58b06707774026295535f07730c61e976c53105368b611b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9318daa6ea1e2ff548e47cea325331af61db871b257b269242a9f3a8a8174c65",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-28T03:23:06Z",
    "title_canon_sha256": "4498d90741764e0f415e5c8c1b1beb2d513acbb19ef85a2c85e828d9182538cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08661",
    "kind": "arxiv",
    "version": 4
  }
}