Pith Number

pith:KB7FS26M

pith:2015:KB7FS26MMI7W4DJUJE6JRAGNC5

not attested not anchored not stored refs pending

A Note on the Overall Magnification of a Gravitational Point-Source-Point-Lens System

L.K. Forbes, S.J. Walters

arxiv:1510.05346 v1 · 2015-10-19 · astro-ph.IM · 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{KB7FS26MMI7W4DJUJE6JRAGNC5}

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	2026-05-18T01:29:52.478673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

507e596bcc623f6e0d34493c9880cd1745bb8b36e0315470fc766828283ff3c4

Aliases

arxiv: 1510.05346 · arxiv_version: 1510.05346v1 · doi: 10.48550/arxiv.1510.05346 · pith_short_12: KB7FS26MMI7W · pith_short_16: KB7FS26MMI7W4DJU · pith_short_8: KB7FS26M

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/KB7FS26MMI7W4DJUJE6JRAGNC5 \
  | 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: 507e596bcc623f6e0d34493c9880cd1745bb8b36e0315470fc766828283ff3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a46c8e6e24970b7facc3d5b66c340cad30ea15faabd232ab7c120a2b3ed99c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2015-10-19T03:50:59Z",
    "title_canon_sha256": "d351ee6b5611597fd3849ab4dca68f4b539e9b815162e7d8095bf7ba1bdd504c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05346",
    "kind": "arxiv",
    "version": 1
  }
}