Pith Number

pith:C3A7E6ZC

pith:2020:C3A7E6ZCU5TVEAR7KV7BDXW7R4

not attested not anchored not stored refs pending

Gravitational Microlensing Time Delays at High Optical Depth: Image Parities and the Temporal Properties of Fast Radio Bursts

Geraint F. Lewis

arxiv:2007.03919 v1 · 2020-07-08 · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3A7E6ZCU5TVEAR7KV7BDXW7R4}

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	2026-07-05T01:21:07.999228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c1f27b22a76752023f557e11dedf8f10c6c3c93cae176def659d7342ceefb4

Aliases

arxiv: 2007.03919 · arxiv_version: 2007.03919v1 · doi: 10.48550/arxiv.2007.03919 · pith_short_12: C3A7E6ZCU5TV · pith_short_16: C3A7E6ZCU5TVEAR7 · pith_short_8: C3A7E6ZC

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/C3A7E6ZCU5TVEAR7KV7BDXW7R4 \
  | 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: 16c1f27b22a76752023f557e11dedf8f10c6c3c93cae176def659d7342ceefb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcefc4ab43b5b009ba1e2a0ec956bc532dc67a881ae3e8d9ff48c3898434a30",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-07-08T06:48:51Z",
    "title_canon_sha256": "ae90bc4542e35010f18384647d4f1a7044a66c8a90307ed92695171128f71757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.03919",
    "kind": "arxiv",
    "version": 1
  }
}