Pith Number

pith:V3HX2CP7

pith:2007:V3HX2CP7HCPQQZOBJ33OXS642O

not attested not anchored not stored refs pending

Properties of the Volume Operator in Loop Quantum Gravity I: Results

David Rideout, Johannes Brunnemann

arxiv:0706.0469 v2 · 2007-06-04 · 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{V3HX2CP7HCPQQZOBJ33OXS642O}

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	2026-05-18T04:35:15.169568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aecf7d09ff389f0865c14ef6ebcbdcd3a42fc93ec52e377f07bbdd16384e079d

Aliases

arxiv: 0706.0469 · arxiv_version: 0706.0469v2 · doi: 10.48550/arxiv.0706.0469 · pith_short_12: V3HX2CP7HCPQ · pith_short_16: V3HX2CP7HCPQQZOB · pith_short_8: V3HX2CP7

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/V3HX2CP7HCPQQZOBJ33OXS642O \
  | 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: aecf7d09ff389f0865c14ef6ebcbdcd3a42fc93ec52e377f07bbdd16384e079d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551198e48be3d42f6766bcf539b097d80bba9b4c363f986aca829a8d3a6b1f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-04T18:32:12Z",
    "title_canon_sha256": "49419a96fba4dbf0b16d213cf6216b8c46a1df60ce4d7d245ecc2bf3cc1b8a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0469",
    "kind": "arxiv",
    "version": 2
  }
}