Pith Number

pith:D4WNI2MP

pith:2010:D4WNI2MPCOI4WKHMXLIEGCL2ES

not attested not anchored not stored refs pending

Mixmaster universe in the z=3 deformed Ho\v{r}ava-Lifshitz gravity

Woo-Sik Son, Yong-Wan Kim, Young-Jai Park, Yun Soo Myung

arxiv:1001.3921 v2 · 2010-01-22 · 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{D4WNI2MPCOI4WKHMXLIEGCL2ES}

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	2026-05-18T02:09:31.262727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2cd4698f1391cb28ecbad043097a248cdf567b0e1587cb608a1542b19c1ca5

Aliases

arxiv: 1001.3921 · arxiv_version: 1001.3921v2 · doi: 10.48550/arxiv.1001.3921 · pith_short_12: D4WNI2MPCOI4 · pith_short_16: D4WNI2MPCOI4WKHM · pith_short_8: D4WNI2MP

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/D4WNI2MPCOI4WKHMXLIEGCL2ES \
  | 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: 1f2cd4698f1391cb28ecbad043097a248cdf567b0e1587cb608a1542b19c1ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e7e06d55a955a7f9a3dc16b9430a10c63270f8a25410690b313bef9193c104d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-22T06:38:34Z",
    "title_canon_sha256": "ef3e1697ca4684f1d042229435e56832219d4a1aa336be4a8e12092f2ddaec8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3921",
    "kind": "arxiv",
    "version": 2
  }
}