Pith Number

pith:5LL7KKPN

pith:2009:5LL7KKPN5Q3SZQ6FEV5VPOIYIT

not attested not anchored not stored refs pending

Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity

Sung-Soo Kim (ULB), Taekyung Kim, Yoonbai Kim (Sungkyunkwan U.)

arxiv:0907.3093 v2 · 2009-07-17 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LL7KKPN5Q3SZQ6FEV5VPOIYIT}

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	2026-05-18T03:23:58.733428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead7f529edec372cc3c5257b57b91844d7621c795a76d9ea3421c7c0cb7c8c16

Aliases

arxiv: 0907.3093 · arxiv_version: 0907.3093v2 · doi: 10.48550/arxiv.0907.3093 · pith_short_12: 5LL7KKPN5Q3S · pith_short_16: 5LL7KKPN5Q3SZQ6F · pith_short_8: 5LL7KKPN

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/5LL7KKPN5Q3SZQ6FEV5VPOIYIT \
  | 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: ead7f529edec372cc3c5257b57b91844d7621c795a76d9ea3421c7c0cb7c8c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2628aefb9740ef0ef3ad7768f09423954cdb7eeb304eefb58e52fb21239750",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-17T17:44:37Z",
    "title_canon_sha256": "a4575ff2a38a4628c788e0baf1e9b007e07f063a46fc3420ec600d7a4ed3146b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3093",
    "kind": "arxiv",
    "version": 2
  }
}