Pith Number

pith:FPGR3SXJ

pith:2009:FPGR3SXJZA34ZRTI3VI7K5YPAP

not attested not anchored not stored refs pending

Dark energy model with higher derivative of Hubble parameter

Jiliang Jing, Songbai Chen

arxiv:0904.2950 v4 · 2009-04-20 · 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{FPGR3SXJZA34ZRTI3VI7K5YPAP}

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	2026-05-18T02:13:59.007067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcd1dcae9c837ccc668dd51f5770f03e13640e4ba2e779d4c5548b3a56c8e2b

Aliases

arxiv: 0904.2950 · arxiv_version: 0904.2950v4 · doi: 10.48550/arxiv.0904.2950 · pith_short_12: FPGR3SXJZA34 · pith_short_16: FPGR3SXJZA34ZRTI · pith_short_8: FPGR3SXJ

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/FPGR3SXJZA34ZRTI3VI7K5YPAP \
  | 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: 2bcd1dcae9c837ccc668dd51f5770f03e13640e4ba2e779d4c5548b3a56c8e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a11ebf1d7530b2fc6add5c8b79dbb22dd7656c2a97cd82da6532002072aa8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-04-20T06:38:49Z",
    "title_canon_sha256": "0eff1d9bc8ff56fed853a34358d26d9f91b87ace0780633918523cafa9344086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2950",
    "kind": "arxiv",
    "version": 4
  }
}