Pith Number

pith:KPWACVGV

pith:2007:KPWACVGVD452HP42IHCB3T2CTJ

not attested not anchored not stored refs pending

Loop Quantum Gravity: Four Recent Advances and a Dozen Frequently Asked Questions

Abhay Ashtekar

arxiv:0705.2222 v1 · 2007-05-15 · gr-qc · hep-th · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPWACVGVD452HP42IHCB3T2CTJ}

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 quantization of all minisuperspaces with consistent symmetry reductions

Receipt and verification

First computed	2026-05-18T00:59:33.073358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ec0154d51f3ba3bf9a41c41dcf429a520d9c2a1aad87a96180a25bc3491a69

Aliases

arxiv: 0705.2222 · arxiv_version: 0705.2222v1 · doi: 10.48550/arxiv.0705.2222 · pith_short_12: KPWACVGVD452 · pith_short_16: KPWACVGVD452HP42 · pith_short_8: KPWACVGV

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/KPWACVGVD452HP42IHCB3T2CTJ \
  | 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: 53ec0154d51f3ba3bf9a41c41dcf429a520d9c2a1aad87a96180a25bc3491a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8370bbceb10b7503831a9e104c636a2d98f2a1422629d29515994a4b067d266",
    "cross_cats_sorted": [
      "hep-th",
      "physics.hist-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-05-15T19:49:53Z",
    "title_canon_sha256": "4b646eecd836d2cda896169a5a2ff57e7fa1af4029d821efeafc5b6c33cba5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2222",
    "kind": "arxiv",
    "version": 1
  }
}