Pith Number

pith:72DJPRIZ

pith:2000:72DJPRIZTUYURRUKINPRJVTVQO

not attested not anchored not stored refs pending

Precanonical Quantum Gravity: quantization without the space-time decomposition

I.V. Kanatchikov

arxiv:gr-qc/0012074 v2 · 2000-12-20 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72DJPRIZTUYURRUKINPRJVTVQO}

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	2026-05-18T02:37:36.235676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8697c5199d3148c68a435f14d67583ac6eebecbbdb2ab768a7163eeeb8e700

Aliases

arxiv: gr-qc/0012074 · arxiv_version: gr-qc/0012074v2 · doi: 10.48550/arxiv.gr-qc/0012074 · pith_short_12: 72DJPRIZTUYU · pith_short_16: 72DJPRIZTUYURRUK · pith_short_8: 72DJPRIZ

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/72DJPRIZTUYURRUKINPRJVTVQO \
  | 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: fe8697c5199d3148c68a435f14d67583ac6eebecbbdb2ab768a7163eeeb8e700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40f228ac4868145aadb7efa2a96365f50e8bc651fcb39ca7e57e48d5fc41b37b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-20T02:01:57Z",
    "title_canon_sha256": "c6f40446f47e5255f0830e10b986e5ee8bb22ec5ad1539481bb8fa04987cebca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012074",
    "kind": "arxiv",
    "version": 2
  }
}