Pith Number

pith:VDPKFFMQ

pith:2013:VDPKFFMQUSUVPL7EITMI4G7HRP

not attested not anchored not stored refs pending

Locally Rotationally Symmetric Vacuum Solutions in f(R) Gravity

M. Jamil Amir, Sadia Sattar

arxiv:1312.1682 v1 · 2013-12-05 · 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{VDPKFFMQUSUVPL7EITMI4G7HRP}

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	2026-05-18T01:45:58.122127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8dea29590a4a957afe444d88e1be78bc019186aec4b7ade1c7ce3d7ffb3261e

Aliases

arxiv: 1312.1682 · arxiv_version: 1312.1682v1 · doi: 10.48550/arxiv.1312.1682 · pith_short_12: VDPKFFMQUSUV · pith_short_16: VDPKFFMQUSUVPL7E · pith_short_8: VDPKFFMQ

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/VDPKFFMQUSUVPL7EITMI4G7HRP \
  | 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: a8dea29590a4a957afe444d88e1be78bc019186aec4b7ade1c7ce3d7ffb3261e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcdf81be965a3cd3be11d763c7dada8b9f4da682890b8e9ac9d8940a30057e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-05T07:12:51Z",
    "title_canon_sha256": "86dd5132a6f26b2934f13a0429790cbdab0f89322eb34d5baef589c72cf4283f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1682",
    "kind": "arxiv",
    "version": 1
  }
}