Pith Number

pith:DF4PBBDE

pith:2010:DF4PBBDEMKLLUKZJMQQ4VIOKRH

not attested not anchored not stored refs pending

Non-Vacuum Bianchi Types I and V in f(R) Gravity

M. Farasat Shamir, M. Sharif

arxiv:1005.2798 v1 · 2010-05-17 · 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{DF4PBBDEMKLLUKZJMQQ4VIOKRH}

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	2026-05-18T04:38:17.035710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1978f084646296ba2b296421caa1ca89e596d4370671464d8b3b0d8addb569c8

Aliases

arxiv: 1005.2798 · arxiv_version: 1005.2798v1 · doi: 10.48550/arxiv.1005.2798 · pith_short_12: DF4PBBDEMKLL · pith_short_16: DF4PBBDEMKLLUKZJ · pith_short_8: DF4PBBDE

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/DF4PBBDEMKLLUKZJMQQ4VIOKRH \
  | 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: 1978f084646296ba2b296421caa1ca89e596d4370671464d8b3b0d8addb569c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e62704438420141dd81d13c28753fb840afc5319970f3c88c90d7f0542aae05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-17T02:36:02Z",
    "title_canon_sha256": "ede3d12e0ae19c8362e91146dac03d87536cdcd0d5aa3d214dd44b53530cd8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2798",
    "kind": "arxiv",
    "version": 1
  }
}