Pith Number

pith:YTEPKOBX

pith:2021:YTEPKOBXILQK4HJ5YCSWOTIGMH

not attested not anchored not stored refs pending

Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics

Cong Zhang

arxiv:2106.08202 v4 · 2021-06-15 · 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{YTEPKOBXILQK4HJ5YCSWOTIGMH}

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

Dust shell in effective loop quantum black hole model

Receipt and verification

First computed	2026-07-05T03:59:39.407378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c8f5383742e0ae1d3dc0a5674d0661ee45d58e2b6c61b18fa4ef01d902aee2

Aliases

arxiv: 2106.08202 · arxiv_version: 2106.08202v4 · doi: 10.48550/arxiv.2106.08202 · pith_short_12: YTEPKOBXILQK · pith_short_16: YTEPKOBXILQK4HJ5 · pith_short_8: YTEPKOBX

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/YTEPKOBXILQK4HJ5YCSWOTIGMH \
  | 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: c4c8f5383742e0ae1d3dc0a5674d0661ee45d58e2b6c61b18fa4ef01d902aee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04723fa0a9860d79dd239015d86c839c3ab03e257ce66d8d456c53905823e2f3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-15T15:00:19Z",
    "title_canon_sha256": "7eb057d0a8ed505b465ed522c0111369134dc9fc921acabf078a655b7345a091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08202",
    "kind": "arxiv",
    "version": 4
  }
}