Pith Number

pith:6RJELGTT

pith:2009:6RJELGTT2CSDR2GQ26ANCCADYI

not attested not anchored not stored refs pending

Relativistic Images in Randall-Sundrum II Braneworld Lensing

Amitai Y. Bin-Nun

arxiv:0912.2081 v2 · 2009-12-10 · gr-qc · astro-ph.CO · hep-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{6RJELGTT2CSDR2GQ26ANCCADYI}

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	2026-05-18T04:41:15.311077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f452459a73d0a438e8d0d780d10803c2023efc5fe893fd945dac2c3584db882e

Aliases

arxiv: 0912.2081 · arxiv_version: 0912.2081v2 · doi: 10.48550/arxiv.0912.2081 · pith_short_12: 6RJELGTT2CSD · pith_short_16: 6RJELGTT2CSDR2GQ · pith_short_8: 6RJELGTT

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/6RJELGTT2CSDR2GQ26ANCCADYI \
  | 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: f452459a73d0a438e8d0d780d10803c2023efc5fe893fd945dac2c3584db882e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf4557b30662598fc491bb43ace262f2680eebb8c57c04f033addc98f5a6bfd",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-10T20:04:43Z",
    "title_canon_sha256": "55db19c19359ce9e8a6c815eb6969982f2e9f7c054446a74a5c08bdfabced95d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2081",
    "kind": "arxiv",
    "version": 2
  }
}