Pith Number

pith:J3N7IE2O

pith:2021:J3N7IE2OSUYC57UTHDSJCKHZAZ

not attested not anchored not stored refs pending

Can we know about black hole thermodynamics through shadows?

Xin-Chang Cai, Yan-Gang Miao

arxiv:2107.08352 v4 · 2021-07-18 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3N7IE2OSUYC57UTHDSJCKHZAZ}

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

Thermodynamical phase structures and particle emission rate of charged AdS black hole surrounded by string cloud and quintessence via shadow formalism

Receipt and verification

First computed	2026-07-05T03:31:14.213887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edbf4134e95302efe9338e49128f90663dd45a5be9279ac4136ec9a9b6eecee

Aliases

arxiv: 2107.08352 · arxiv_version: 2107.08352v4 · doi: 10.48550/arxiv.2107.08352 · pith_short_12: J3N7IE2OSUYC · pith_short_16: J3N7IE2OSUYC57UT · pith_short_8: J3N7IE2O

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/J3N7IE2OSUYC57UTHDSJCKHZAZ \
  | 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: 4edbf4134e95302efe9338e49128f90663dd45a5be9279ac4136ec9a9b6eecee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f5352da7c7dadabef19e645ed69a46b866d7ce5695618a4609bf0b2c38178d9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-18T03:14:35Z",
    "title_canon_sha256": "cdb211ac51781e135cc6c93960b82e7ea743eb49211267474fa8e78e422723ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08352",
    "kind": "arxiv",
    "version": 4
  }
}