Pith Number

pith:BCFSY3DF

pith:2009:BCFSY3DFL4QTET5PISV352N6EC

not attested not anchored not stored refs pending

The volume operator in covariant quantum gravity

Carlo Rovelli, You Ding

arxiv:0911.0543 v2 · 2009-11-03 · 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{BCFSY3DFL4QTET5PISV352N6EC}

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	2026-05-18T02:34:12.073132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088b2c6c655f21324faf44abbee9be20bb1ff93c37154e2f8756a63bce58f2e4

Aliases

arxiv: 0911.0543 · arxiv_version: 0911.0543v2 · doi: 10.48550/arxiv.0911.0543 · pith_short_12: BCFSY3DFL4QT · pith_short_16: BCFSY3DFL4QTET5P · pith_short_8: BCFSY3DF

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/BCFSY3DFL4QTET5PISV352N6EC \
  | 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: 088b2c6c655f21324faf44abbee9be20bb1ff93c37154e2f8756a63bce58f2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04ed6ce94fa8b12dc5b4c95a4ce298ebc8ed20aafe8708e618a9131e89ba67af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-03T10:43:08Z",
    "title_canon_sha256": "818d561902330f4db76438a80afa11d1554fa36162ef195366657cbb299d088a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0543",
    "kind": "arxiv",
    "version": 2
  }
}