Pith Number

pith:ENOL22TM

pith:2021:ENOL22TMVAK5IL32ZL22PITE3J

not attested not anchored not stored refs pending

Quantization of Gravity in Spherical Harmonic Basis

Renata Kallosh

arxiv:2107.02099 v2 · 2021-07-05 · hep-th · 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{ENOL22TMVAK5IL32ZL22PITE3J}

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

Quantum uncertainty in the area of a black hole

Receipt and verification

First computed	2026-07-05T03:28:20.708515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

235cbd6a6ca815d42f7acaf5a7a264da477d95c459f336d86737310d5d6970c7

Aliases

arxiv: 2107.02099 · arxiv_version: 2107.02099v2 · doi: 10.48550/arxiv.2107.02099 · pith_short_12: ENOL22TMVAK5 · pith_short_16: ENOL22TMVAK5IL32 · pith_short_8: ENOL22TM

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/ENOL22TMVAK5IL32ZL22PITE3J \
  | 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: 235cbd6a6ca815d42f7acaf5a7a264da477d95c459f336d86737310d5d6970c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e52c6f11f9d246b02ae0b634cb11fd5ca165f5e89c1f419fa3fcba1f2978eb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-05T15:44:59Z",
    "title_canon_sha256": "06c671e9e3f5b834dff1a6f5e5f953721a7b75413f340888e2cf8ac4bb526f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02099",
    "kind": "arxiv",
    "version": 2
  }
}