Pith Number

pith:JDENUZPK

pith:2021:JDENUZPKUGOWA74OIPSO2ADVN6

not attested not anchored not stored refs pending

Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum

Anzhong Wang, Fu-Wen Shu, Jia-Xi Feng, Yu-Chen Liu

arxiv:2109.02861 v3 · 2021-09-07 · 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{JDENUZPKUGOWA74OIPSO2ADVN6}

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	2026-07-05T03:29:51.845632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c8da65eaa19d607f8e43e4ed00756f99184cf009ff6a8762d341eea59000fa

Aliases

arxiv: 2109.02861 · arxiv_version: 2109.02861v3 · doi: 10.48550/arxiv.2109.02861 · pith_short_12: JDENUZPKUGOW · pith_short_16: JDENUZPKUGOWA74O · pith_short_8: JDENUZPK

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/JDENUZPKUGOWA74OIPSO2ADVN6 \
  | 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: 48c8da65eaa19d607f8e43e4ed00756f99184cf009ff6a8762d341eea59000fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a382fc2049b0126517d84357f5b96d424da5663629c581612c28ddcd62f7d78a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-07T04:32:28Z",
    "title_canon_sha256": "da4e73e3605e9125c7c55d8d7264a1654069a238cbec4cf65b4549433ebbdf9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02861",
    "kind": "arxiv",
    "version": 3
  }
}