Pith Number

pith:QZUBGRZI

pith:2013:QZUBGRZIOPEWM2ZJG72E6MOESD

not attested not anchored not stored refs pending

Gravitational lensing shear by an exotic lens object with negative convergence or negative mass

Chisaki Hagiwara, Hideki Asada, Koji Izumi, Koki Nakajima, Takao Kitamura

arxiv:1305.5037 v2 · 2013-05-22 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZUBGRZIOPEWM2ZJG72E6MOESD}

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.

Cited by

1 paper in Pith

Observational signatures of negative mass wormholes through their shadows

Receipt and verification

First computed	2026-05-18T01:49:47.992745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866813472873c9666b2937f44f31c490ccba4581b638f1f14fdcf1b9e70d1680

Aliases

arxiv: 1305.5037 · arxiv_version: 1305.5037v2 · doi: 10.48550/arxiv.1305.5037 · pith_short_12: QZUBGRZIOPEW · pith_short_16: QZUBGRZIOPEWM2ZJ · pith_short_8: QZUBGRZI

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/QZUBGRZIOPEWM2ZJG72E6MOESD \
  | 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: 866813472873c9666b2937f44f31c490ccba4581b638f1f14fdcf1b9e70d1680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b13784ff7cd7f186f390d14180a9c52e9555c7c74ca09902885103aac4e2bab",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-05-22T07:27:58Z",
    "title_canon_sha256": "f214b880c2bb2bda107f0b5fa53f0dd3bbf5f6aa51ba62f753a9c1f0140dc0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5037",
    "kind": "arxiv",
    "version": 2
  }
}