Pith Number

pith:HZYKKRWP

pith:2010:HZYKKRWPH5DFSQAHRWSPBCQBQL

not attested not anchored not stored refs pending

Localizing the Energy and Momentum of Linear Gravity

Anthony Lasenby, Luke M. Butcher, Michael Hobson

arxiv:1008.4061 v2 · 2010-08-24 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZYKKRWPH5DFSQAHRWSPBCQBQL}

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	2026-05-18T04:34:46.800096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e70a546cf3f465940078da4f08a0182d90066e227c38d30766caf640f82e509

Aliases

arxiv: 1008.4061 · arxiv_version: 1008.4061v2 · doi: 10.48550/arxiv.1008.4061 · pith_short_12: HZYKKRWPH5DF · pith_short_16: HZYKKRWPH5DFSQAH · pith_short_8: HZYKKRWP

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/HZYKKRWPH5DFSQAHRWSPBCQBQL \
  | 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: 3e70a546cf3f465940078da4f08a0182d90066e227c38d30766caf640f82e509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2ab1f8f30fd54f4df84b95ed70f9ee46bca3a83c1870eb1cce1fd8710681cf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-24T14:55:05Z",
    "title_canon_sha256": "e64000447afb6a3f087c9a9c05f7019a11badbaff0034cd7ad01a81ee4892dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4061",
    "kind": "arxiv",
    "version": 2
  }
}