Pith Number

pith:SCPVXWMK

pith:2016:SCPVXWMK4GMUFXRWIQIWDSWBH4

not attested not anchored not stored refs pending

Emergence of Fresnel diffraction zones in gravitational lensing by a cosmic string

Isabel Fern\'andez-N\'u\~nez, Oleg Bulashenko

arxiv:1612.07218 v2 · 2016-12-21 · astro-ph.CO · gr-qc · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCPVXWMK4GMUFXRWIQIWDSWBH4}

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

Parameter inference of millilensed gravitational waves using neural spline flows

Receipt and verification

First computed	2026-05-18T00:45:04.796838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909f5bd98ae19942de36441161cac13f1c13a7dea4ac55634c0866a7768ad045

Aliases

arxiv: 1612.07218 · arxiv_version: 1612.07218v2 · doi: 10.48550/arxiv.1612.07218 · pith_short_12: SCPVXWMK4GMU · pith_short_16: SCPVXWMK4GMUFXRW · pith_short_8: SCPVXWMK

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/SCPVXWMK4GMUFXRWIQIWDSWBH4 \
  | 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: 909f5bd98ae19942de36441161cac13f1c13a7dea4ac55634c0866a7768ad045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99925c1b5ec083f61d6f0fa6b1a429230310db8ed0c48fac9f1157ca75af387f",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-21T16:15:21Z",
    "title_canon_sha256": "748f545b2c2d523f42034260807f5b1ad86a65ecffcd6c0260c9150d9739bced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07218",
    "kind": "arxiv",
    "version": 2
  }
}