Pith Number

pith:CYP2TQLE

pith:2005:CYP2TQLEIF7FKKD6TXTKSVAS26

not attested not anchored not stored refs pending

Quantum geometry and the Schwarzschild singularity

Abhay Ashtekar, Martin Bojowald

arxiv:gr-qc/0509075 v1 · 2005-09-18 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYP2TQLEIF7FKKD6TXTKSVAS26}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Relational quantum dynamics of the black hole interior: singularity resolution and quantum bounce

Receipt and verification

First computed	2026-05-18T04:12:02.733522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161fa9c164417e55287e9de6a95412d7b884b7b48526b701fb1541a23c496141

Aliases

arxiv: gr-qc/0509075 · arxiv_version: gr-qc/0509075v1 · doi: 10.48550/arxiv.gr-qc/0509075 · pith_short_12: CYP2TQLEIF7F · pith_short_16: CYP2TQLEIF7FKKD6 · pith_short_8: CYP2TQLE

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/CYP2TQLEIF7FKKD6TXTKSVAS26 \
  | 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: 161fa9c164417e55287e9de6a95412d7b884b7b48526b701fb1541a23c496141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98335f13de3ce4736937f7b3ffd9811c0fb4772ea8f2079570731211f07ab5c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-18T20:04:23Z",
    "title_canon_sha256": "3d50fa7e74189dbd13040a9fa139249168a87c7631f7f646cda0e14c5fd9f649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509075",
    "kind": "arxiv",
    "version": 1
  }
}