Pith Number

pith:HRKXGPKN

pith:2007:HRKXGPKNSLMDURXYFINRNCTEDH

not attested not anchored not stored refs pending

Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints

Shinji Tsujikawa

arxiv:0709.1391 v2 · 2007-09-10 · astro-ph · gr-qc · hep-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{HRKXGPKNSLMDURXYFINRNCTEDH}

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	2026-07-04T15:33:57.587394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c55733d4d92d83a46f82a1b168a6419e1459d8233c69f4c3be5c1c264273bb3

Aliases

arxiv: 0709.1391 · arxiv_version: 0709.1391v2 · doi: 10.48550/arxiv.0709.1391 · pith_short_12: HRKXGPKNSLMD · pith_short_16: HRKXGPKNSLMDURXY · pith_short_8: HRKXGPKN

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/HRKXGPKNSLMDURXYFINRNCTEDH \
  | 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: 3c55733d4d92d83a46f82a1b168a6419e1459d8233c69f4c3be5c1c264273bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d4c3d3a56a220e4fb81aacb1b5e87b36b0288fff17907e0a1338dd810cf3f6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-09-10T13:37:56Z",
    "title_canon_sha256": "93ab52f26a977e157cacdc7b3f10972574b301c856c01272b64be2bf1daa43eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1391",
    "kind": "arxiv",
    "version": 2
  }
}