Pith Number

pith:YPLI5A75

pith:2021:YPLI5A75ALSZF5XG7QIZLRX3LR

not attested not anchored not stored refs pending

Evidence for gravitational lensing of GRB 200716C

Bin-Bin Zhang, En-Wei Liang, Hao-Yu Yuan, Hou-Jun L\"u, Jared Rice, Xing Yang, Zhao Zhang

arxiv:2107.11050 v4 · 2021-07-23 · 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{YPLI5A75ALSZF5XG7QIZLRX3LR}

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	2026-07-05T03:32:09.673615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d68e83fd02e592f6e6fc1195c6fb5c54652994ca1eb54d7a0bd7ee3419c4a8

Aliases

arxiv: 2107.11050 · arxiv_version: 2107.11050v4 · doi: 10.48550/arxiv.2107.11050 · pith_short_12: YPLI5A75ALSZ · pith_short_16: YPLI5A75ALSZF5XG · pith_short_8: YPLI5A75

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/YPLI5A75ALSZF5XG7QIZLRX3LR \
  | 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: c3d68e83fd02e592f6e6fc1195c6fb5c54652994ca1eb54d7a0bd7ee3419c4a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d833a2ff9fd7a367ecfe701aa3dd72cbc2ed49ce455f1ec40bf9db2d0a97a55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2021-07-23T07:04:46Z",
    "title_canon_sha256": "92f3ddf755378215b8ab82edf801cfaa6ed9e66e233bf65376e99f2fb5904c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11050",
    "kind": "arxiv",
    "version": 4
  }
}