Pith Number

pith:4HAH7IAB

pith:2004:4HAH7IABSIDY7L3OJHPTCETDU3

not attested not anchored not stored refs pending

Separable Hilbert space in Loop Quantum Gravity

Carlo Rovelli, Winston Fairbairn

arxiv:gr-qc/0403047 v2 · 2004-03-11 · 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{4HAH7IABSIDY7L3OJHPTCETDU3}

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

All Hilbert spaces are the same: consequences for generalized coordinates and momenta

Receipt and verification

First computed	2026-05-18T01:39:22.622231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c07fa00192078faf6e49df311263a6e8a0dd9547993ba1f2966686aaf552ec

Aliases

arxiv: gr-qc/0403047 · arxiv_version: gr-qc/0403047v2 · doi: 10.48550/arxiv.gr-qc/0403047 · pith_short_12: 4HAH7IABSIDY · pith_short_16: 4HAH7IABSIDY7L3O · pith_short_8: 4HAH7IAB

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/4HAH7IABSIDY7L3OJHPTCETDU3 \
  | 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: e1c07fa00192078faf6e49df311263a6e8a0dd9547993ba1f2966686aaf552ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdbaa59f255f2dbde85e5210478d1e3381414f8be5b8d2e1f98f2e8ca2cd09bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-03-11T17:46:55Z",
    "title_canon_sha256": "d72ed2e570dfb4dd1ec1b041b798a7e3b9e4290cbec86e109515f5011529d3ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0403047",
    "kind": "arxiv",
    "version": 2
  }
}