Pith Number

pith:KNQQL3MZ

pith:2013:KNQQL3MZWNV5F3CHA2CBQTOP2K

not attested not anchored not stored refs pending

Wave Effect in Gravitational Lensing by the Ellis Wormhole

Chul-Moon Yoo, Naoki Tsukamoto, Tomohiro Harada

arxiv:1302.7170 v2 · 2013-02-28 · 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{KNQQL3MZWNV5F3CHA2CBQTOP2K}

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

2 papers in Pith

Observational signatures of negative mass wormholes through their shadows

Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics

Receipt and verification

First computed	2026-05-18T03:27:22.531100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536105ed99b36bd2ec470684184dcfd287b766da6aae61357e138ccd50edbade

Aliases

arxiv: 1302.7170 · arxiv_version: 1302.7170v2 · doi: 10.48550/arxiv.1302.7170 · pith_short_12: KNQQL3MZWNV5 · pith_short_16: KNQQL3MZWNV5F3CH · pith_short_8: KNQQL3MZ

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/KNQQL3MZWNV5F3CHA2CBQTOP2K \
  | 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: 536105ed99b36bd2ec470684184dcfd287b766da6aae61357e138ccd50edbade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed827715070fe948da365fbec63f7fd0d4ef1e135d12aec6706cbe2a4e484428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-28T12:31:02Z",
    "title_canon_sha256": "58f43e074c7145678e29252f47c4cde0d132a2c9de87020bdb712610ea0732e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7170",
    "kind": "arxiv",
    "version": 2
  }
}