Pith Number

pith:5P2PBTJN

pith:2019:5P2PBTJNOOFN6MAVQNHKP7XUXI

not attested not anchored not stored refs pending

The Frequency-Shift in the Gravitational Microlensing

Sohrab Rahvar

arxiv:1908.01361 v3 · 2019-08-04 · astro-ph.GA · 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{5P2PBTJNOOFN6MAVQNHKP7XUXI}

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	2026-07-05T00:30:20.192083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf4f0cd2d738adf3015834ea7fef4ba12b940d167165185c1b43822857035a0

Aliases

arxiv: 1908.01361 · arxiv_version: 1908.01361v3 · doi: 10.48550/arxiv.1908.01361 · pith_short_12: 5P2PBTJNOOFN · pith_short_16: 5P2PBTJNOOFN6MAV · pith_short_8: 5P2PBTJN

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/5P2PBTJNOOFN6MAVQNHKP7XUXI \
  | 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: ebf4f0cd2d738adf3015834ea7fef4ba12b940d167165185c1b43822857035a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e3248cd8ab1bba6e4c2e0bfb8b6db7b847afb79fc42d3172e23d6fb1f18f24",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-08-04T15:34:49Z",
    "title_canon_sha256": "ae65cd6a220bf50fec2817f01503995e056e30482b429575910fff901f112311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01361",
    "kind": "arxiv",
    "version": 3
  }
}