Pith Number

pith:IKD42AHT

pith:2012:IKD42AHTKBH3FXGPZWXYMZ54LV

not attested not anchored not stored refs pending

Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime

Alf Tang, Dah-Wei Chiou, Wei-Tou Ni

arxiv:1212.1265 v2 · 2012-12-06 · 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{IKD42AHTKBH3FXGPZWXYMZ54LV}

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

2 papers in Pith

Canonical form of a deformed Poisson bracket spacetime

Expansion operators in spherically symmetric loop quantum gravity

Receipt and verification

First computed	2026-05-18T03:35:27.770774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4287cd00f3504fb2dccfcdaf8667bc5d56ee7adac7da5f3b30ef90fef7077089

Aliases

arxiv: 1212.1265 · arxiv_version: 1212.1265v2 · doi: 10.48550/arxiv.1212.1265 · pith_short_12: IKD42AHTKBH3 · pith_short_16: IKD42AHTKBH3FXGP · pith_short_8: IKD42AHT

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/IKD42AHTKBH3FXGPZWXYMZ54LV \
  | 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: 4287cd00f3504fb2dccfcdaf8667bc5d56ee7adac7da5f3b30ef90fef7077089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11243046112edf5aaa586784890615d9247c69d2302d05a02cbe03983597196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-06T09:21:20Z",
    "title_canon_sha256": "855431b431b8e0186525345efdfa6eba48821a99424fe779c9934ba0b785f0b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1265",
    "kind": "arxiv",
    "version": 2
  }
}