Pith Number

pith:HK2NFJLC

pith:2013:HK2NFJLCKB3U3E5ZQM6VZBOXRI

not attested not anchored not stored refs pending

Bounds on the Bondi Energy by a Flux of Curvature

Arick Shao, Spyros Alexakis

arxiv:1308.4170 v3 · 2013-08-19 · math.AP · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HK2NFJLCKB3U3E5ZQM6VZBOXRI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:04:46.090228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab4d2a56250774d93b9833d5c85d78a3efb618b9675ccc228b0a302ee00a3d4

Aliases

arxiv: 1308.4170 · arxiv_version: 1308.4170v3 · doi: 10.48550/arxiv.1308.4170 · pith_short_12: HK2NFJLCKB3U · pith_short_16: HK2NFJLCKB3U3E5Z · pith_short_8: HK2NFJLC

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/HK2NFJLCKB3U3E5ZQM6VZBOXRI \
  | 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: 3ab4d2a56250774d93b9833d5c85d78a3efb618b9675ccc228b0a302ee00a3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1a790146fb2e28aa8b3786334e420ec240e1f17f696a2be7c1087b84d586b2",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-19T20:44:35Z",
    "title_canon_sha256": "4c768e840ebdc179e5775d11935c696e1d7f159798829f23e1e2174525e2ddf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4170",
    "kind": "arxiv",
    "version": 3
  }
}