Pith. sign in
Pith Number

pith:CHR7MW3M

pith:2021:CHR7MW3MRQIV6TVV5BWS6BHUK7
not attested not anchored not stored refs pending

FRBs Lensed by Point Masses II. The multi-peaked FRBs from the point view of microlensing

Guoliang Li, Wenwen Zheng, Xuechun Chen, Yiping Shu

arxiv:2110.07643 v1 · 2021-10-14 · astro-ph.GA · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CHR7MW3MRQIV6TVV5BWS6BHUK7}

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

Receipt and verification
First computed 2026-07-05T03:42:52.088486Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

11e3f65b6c8c115f4eb5e86d2f04f457cd8d09c290e6cc3339abffbb0a2e3389

Aliases

arxiv: 2110.07643 · arxiv_version: 2110.07643v1 · doi: 10.48550/arxiv.2110.07643 · pith_short_12: CHR7MW3MRQIV · pith_short_16: CHR7MW3MRQIV6TVV · pith_short_8: CHR7MW3M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CHR7MW3MRQIV6TVV5BWS6BHUK7 \
  | 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: 11e3f65b6c8c115f4eb5e86d2f04f457cd8d09c290e6cc3339abffbb0a2e3389
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9091104380ac39ec3dab662a618e0ecbb55fb13c2168978ddc6e75dc4237a92b",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-10-14T18:04:23Z",
    "title_canon_sha256": "f378fdadeff06296e596eacbc135f83fa4f8cdae164bea65517def7475beb006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07643",
    "kind": "arxiv",
    "version": 1
  }
}