Pith Number

pith:5HFWSLQB

pith:2012:5HFWSLQBI3SZW6TDYYOAG4J4ZC

not attested not anchored not stored refs pending

Phantom crossing and quintessence limit in extended nonlinear massive gravity

Athens, Baylor U., Emmanuel N. Saridakis (Natl. Tech. U., Inst. Astrophys.), Paris

arxiv:1207.1800 v4 · 2012-07-07 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HFWSLQBI3SZW6TDYYOAG4J4ZC}

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.

Cited by

1 paper in Pith

Evidence for evolving dark energy from DESI DR2 BAO and Pantheon$^+$, DES-Dovekie, and Union3

Receipt and verification

First computed	2026-05-18T03:31:33.879722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cb692e0146e59b7a63c61c03713cc8b2263cc792efee4af39ea03067c073c9

Aliases

arxiv: 1207.1800 · arxiv_version: 1207.1800v4 · doi: 10.48550/arxiv.1207.1800 · pith_short_12: 5HFWSLQBI3SZ · pith_short_16: 5HFWSLQBI3SZW6TD · pith_short_8: 5HFWSLQB

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/5HFWSLQBI3SZW6TDYYOAG4J4ZC \
  | 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: e9cb692e0146e59b7a63c61c03713cc8b2263cc792efee4af39ea03067c073c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be8658480635a694e9fd93a01282fe02feee795d5d3ec79cead92a9f8dd2991",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-07T14:48:10Z",
    "title_canon_sha256": "947afbe28e39eac254b65e6ad2aacc855fbc68f7d252fb78ebb8a480171ca7f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1800",
    "kind": "arxiv",
    "version": 4
  }
}