Pith Number

pith:CEPXGP2B

pith:2006:CEPXGP2BCGN74G3GU565XHPZFL

not attested not anchored not stored refs pending

Exact scaling solutions and fixed points for general scalar field

Anzhong Wang, Yuan-Zhong Zhang, Yungui Gong

arxiv:gr-qc/0603050 v2 · 2006-03-13 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEPXGP2BCGN74G3GU565XHPZFL}

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	2026-05-18T04:37:00.823195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111f733f41119bfe1b66a77ddb9df92ae757db72f08fb24e971c2c2d9db19dc4

Aliases

arxiv: gr-qc/0603050 · arxiv_version: gr-qc/0603050v2 · doi: 10.48550/arxiv.gr-qc/0603050 · pith_short_12: CEPXGP2BCGN7 · pith_short_16: CEPXGP2BCGN74G3G · pith_short_8: CEPXGP2B

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/CEPXGP2BCGN74G3GU565XHPZFL \
  | 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: 111f733f41119bfe1b66a77ddb9df92ae757db72f08fb24e971c2c2d9db19dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a334f45d478f91f8290a36220882727296ae5cba2b64e7c062719fd9f4a681",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-03-13T18:09:58Z",
    "title_canon_sha256": "23a664af4ce815b575826881a27bc08c8b57722fa49beeaec1fd3dc9c63e0bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0603050",
    "kind": "arxiv",
    "version": 2
  }
}