Pith Number

pith:CZKHIR3R

pith:2017:CZKHIR3RKK7C7CNJVKZEWVTH65

not attested not anchored not stored refs pending

Predicting Gravitational Lensing by Stellar Remnants

2), 2) ((1) Harvard-Smithsonian Center for Astrophysics, (2) School of Physics & Astronomy, (3) Department of Physics & Astronomy, (4) Department of Physics & Astronomy, (5) Cornell University), A. J. Harding (1, C. Baker (1, D. Pham (5), Georgia State University, J. Urama (4), R. Di Stefano (1), S. L\'epine (3), University of Nigeria, University of Southampton

arxiv:1706.04204 v1 · 2017-06-13 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZKHIR3RKK7C7CNJVKZEWVTH65}

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	2026-05-18T00:42:23.221551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165474477152be2f89a9aab24b5667f7570ceef19259b7404c2b255fe4da3951

Aliases

arxiv: 1706.04204 · arxiv_version: 1706.04204v1 · doi: 10.48550/arxiv.1706.04204 · pith_short_12: CZKHIR3RKK7C · pith_short_16: CZKHIR3RKK7C7CNJ · pith_short_8: CZKHIR3R

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/CZKHIR3RKK7C7CNJVKZEWVTH65 \
  | 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: 165474477152be2f89a9aab24b5667f7570ceef19259b7404c2b255fe4da3951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f0fdc2c7ad1b1789dde8aea942eead085c937023319580a7536009923ab422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2017-06-13T18:00:48Z",
    "title_canon_sha256": "df745cf47493c4a54ce8d76245bef08edfd91e0396830489924f0cdd4417a6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04204",
    "kind": "arxiv",
    "version": 1
  }
}