Pith Number

pith:JMC4K3MK

pith:2007:JMC4K3MKG2LBGQAUI7BCPSNJ3V

not attested not anchored not stored refs pending

Observational Constraints with Recent Data on the DGP Modified Gravity

Marzieh Farhang, M. Sadegh Movahed, Sohrab Rahvar

arxiv:astro-ph/0701339 v3 · 2007-01-11 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMC4K3MKG2LBGQAUI7BCPSNJ3V}

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	2026-07-04T15:40:45.921689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b05c56d8a369613401447c227c9a9dd57a51df5f2bf4d9561e87b5f6a38a54a

Aliases

arxiv: astro-ph/0701339 · arxiv_version: astro-ph/0701339v3 · doi: 10.48550/arxiv.astro-ph/0701339 · pith_short_12: JMC4K3MKG2LB · pith_short_16: JMC4K3MKG2LBGQAU · pith_short_8: JMC4K3MK

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/JMC4K3MKG2LBGQAUI7BCPSNJ3V \
  | 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: 4b05c56d8a369613401447c227c9a9dd57a51df5f2bf4d9561e87b5f6a38a54a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3aa7f1695a26c7c9a00fa66a60a7cc59cb9c55e5a04c048dab068e29d6fbe3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-01-11T15:21:03Z",
    "title_canon_sha256": "e09b52ddd6bce85db2a6a7b108f9c16b2424cd465168d2f144d531c23b04939a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0701339",
    "kind": "arxiv",
    "version": 3
  }
}