Pith Number

pith:6JMZMEIF

pith:2007:6JMZMEIFPSKL4CZWOY2KMV5BRT

not attested not anchored not stored refs pending

The Poisson bracket on free null initial data for gravity

Michael P. Reisenberger

arxiv:0712.2541 v4 · 2007-12-15 · 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{6JMZMEIFPSKL4CZWOY2KMV5BRT}

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

Quantization of Gravity on Null Hypersurfaces

Receipt and verification

First computed	2026-07-04T15:45:08.401948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2599611057c94be0b367634a657a18cf339b8ab6b8dbc242e738b953b2fe805

Aliases

arxiv: 0712.2541 · arxiv_version: 0712.2541v4 · doi: 10.48550/arxiv.0712.2541 · pith_short_12: 6JMZMEIFPSKL · pith_short_16: 6JMZMEIFPSKL4CZW · pith_short_8: 6JMZMEIF

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/6JMZMEIFPSKL4CZWOY2KMV5BRT \
  | 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: f2599611057c94be0b367634a657a18cf339b8ab6b8dbc242e738b953b2fe805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f511f2e83bed1c480476fb1452dc1c4b2231761af207898114449ba8068df72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-12-15T22:18:55Z",
    "title_canon_sha256": "db2387ab495baf3addb15b35d0ab9308547f4d3add0b2857bdf0d29864b9f3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2541",
    "kind": "arxiv",
    "version": 4
  }
}