Pith Number

pith:LRMNYGNW

pith:2009:LRMNYGNW6COOHEO2DHAXTY4SUG

not attested not anchored not stored refs pending

Bjorken expansion in the isotropic Kasner spacetime

Hristu Culetu

arxiv:0902.0916 v3 · 2009-02-05 · hep-th · 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{LRMNYGNW6COOHEO2DHAXTY4SUG}

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	2026-05-18T04:05:15.266555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c58dc19b6f09ce391da19c179e392a190267382d7e5dfc91ef86974d565fcb9

Aliases

arxiv: 0902.0916 · arxiv_version: 0902.0916v3 · doi: 10.48550/arxiv.0902.0916 · pith_short_12: LRMNYGNW6COO · pith_short_16: LRMNYGNW6COOHEO2 · pith_short_8: LRMNYGNW

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/LRMNYGNW6COOHEO2DHAXTY4SUG \
  | 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: 5c58dc19b6f09ce391da19c179e392a190267382d7e5dfc91ef86974d565fcb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3b3698c11ecb5e64264218e339475778c2177ca6b074b01d46084b88731828",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-05T14:58:26Z",
    "title_canon_sha256": "aff314bfe84adbfa9cc657c727704e956e0fcdb4350a3154f20cbfa4649e9437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0916",
    "kind": "arxiv",
    "version": 3
  }
}