Pith Number

pith:KI6ZS5M4

pith:2011:KI6ZS5M45JGIATDA4WG44G3ADG

not attested not anchored not stored refs pending

Gravitational Lensing as a Mechanism For Effective Cloaking

Benjamin K. Tippett

arxiv:1108.3793 v2 · 2011-08-18 · gr-qc · physics.optics · physics.pop-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{KI6ZS5M45JGIATDA4WG44G3ADG}

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	2026-05-18T03:42:11.901094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523d99759cea4c804c60e58dce1b6019b67729a92dbd4d8ea0ce844694a4a7ca

Aliases

arxiv: 1108.3793 · arxiv_version: 1108.3793v2 · doi: 10.48550/arxiv.1108.3793 · pith_short_12: KI6ZS5M45JGI · pith_short_16: KI6ZS5M45JGIATDA · pith_short_8: KI6ZS5M4

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/KI6ZS5M45JGIATDA4WG44G3ADG \
  | 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: 523d99759cea4c804c60e58dce1b6019b67729a92dbd4d8ea0ce844694a4a7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03c248371ae6c340da2447cdce6f6bd2f8c315ca931b41a0ad7761328bac374",
    "cross_cats_sorted": [
      "physics.optics",
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-18T16:54:09Z",
    "title_canon_sha256": "c2d179085b56b47d46acfe309b018534ea2d33fbc3b6b6511d58c3f195189597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3793",
    "kind": "arxiv",
    "version": 2
  }
}