Pith Number

pith:MQJXDYTZ

pith:2010:MQJXDYTZGCJLU47LMPZSRVRZGJ

not attested not anchored not stored refs pending

Generic feature of future crossing of phantom divide in viable $f(R)$ gravity models

Chao-Qiang Geng, Chung-Chi Lee, Kazuharu Bamba

arxiv:1007.0482 v2 · 2010-07-03 · astro-ph.CO · gr-qc · 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{MQJXDYTZGCJLU47LMPZSRVRZGJ}

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	2026-05-18T02:06:32.731661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641371e2793092ba73eb63f328d639325e2208d2ffaf5ece2f143624c3c5062c

Aliases

arxiv: 1007.0482 · arxiv_version: 1007.0482v2 · doi: 10.48550/arxiv.1007.0482 · pith_short_12: MQJXDYTZGCJL · pith_short_16: MQJXDYTZGCJLU47L · pith_short_8: MQJXDYTZ

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/MQJXDYTZGCJLU47LMPZSRVRZGJ \
  | 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: 641371e2793092ba73eb63f328d639325e2208d2ffaf5ece2f143624c3c5062c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789f37b93f3bbebdb1114be942f6ee52c8fb650addc05c77569f6ea03a9a523f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-07-03T08:52:18Z",
    "title_canon_sha256": "997b2b2d2f4a6e853a5b2670fefcb5382ad2cea2ca3e52cd60820b35e3e3a8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0482",
    "kind": "arxiv",
    "version": 2
  }
}