Pith Number

pith:2IVLCHHI

pith:2012:2IVLCHHIO3BKHY7XDA2TCPHY7F

not attested not anchored not stored refs pending

The Trans-Planckian Problem in the Healthy Extension of Horava-Lifshitz Gravity

Elisa G. M. Ferreira, Robert Brandenberger (McGill Univ., Universidade de Sao Paulo)

arxiv:1204.5239 v2 · 2012-04-24 · 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{2IVLCHHIO3BKHY7XDA2TCPHY7F}

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	2026-05-18T03:22:41.876121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22ab11ce876c2a3e3f71835313cf8f9402051698025b03e973b75a2eb60414d

Aliases

arxiv: 1204.5239 · arxiv_version: 1204.5239v2 · doi: 10.48550/arxiv.1204.5239 · pith_short_12: 2IVLCHHIO3BK · pith_short_16: 2IVLCHHIO3BKHY7X · pith_short_8: 2IVLCHHI

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/2IVLCHHIO3BKHY7XDA2TCPHY7F \
  | 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: d22ab11ce876c2a3e3f71835313cf8f9402051698025b03e973b75a2eb60414d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98939966d57d89ba119ca39e553de18efad1ebadb022676a6ed1e6edb94ab1d8",
    "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": "2012-04-24T00:26:37Z",
    "title_canon_sha256": "0037d6a978baf23dfe86eaa8add68a8222859990efe2707d9827ce59a7506d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5239",
    "kind": "arxiv",
    "version": 2
  }
}