Pith Number

pith:HMEL3IEG

pith:2013:HMEL3IEG5FBCUHH7LZ3YULB25L

not attested not anchored not stored refs pending

Microlensed image centroid motions by an exotic lens object with negative convergence or negative mass

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

arxiv:1307.6637 v2 · 2013-07-25 · 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{HMEL3IEG5FBCUHH7LZ3YULB25L}

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	2026-05-18T01:48:34.745816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b08bda086e9422a1cff5e778a2c3aead3bfa29a6c10b3424be7f476639b0e3e

Aliases

arxiv: 1307.6637 · arxiv_version: 1307.6637v2 · doi: 10.48550/arxiv.1307.6637 · pith_short_12: HMEL3IEG5FBC · pith_short_16: HMEL3IEG5FBCUHH7 · pith_short_8: HMEL3IEG

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/HMEL3IEG5FBCUHH7LZ3YULB25L \
  | 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: 3b08bda086e9422a1cff5e778a2c3aead3bfa29a6c10b3424be7f476639b0e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b91ac1e3695d0f1a82d4dfe622c9730a4fae2352ede58ad939ce006b33bc19",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-07-25T06:30:47Z",
    "title_canon_sha256": "0ddade198bfb03a8de591b7a0b50a65e77b9410663f5c299263b28ec1e48b16b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6637",
    "kind": "arxiv",
    "version": 2
  }
}