Pith Number

pith:FFLKGNJC

pith:2015:FFLKGNJCVEXDA42D5DFSMSY4TW

not attested not anchored not stored refs pending

Compound lensing: Einstein Zig-Zags and high multiplicity lensed images

David J. Bacon (ICG, Portsmouth), Thomas E. Collett

arxiv:1510.00242 v1 · 2015-10-01 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFLKGNJCVEXDA42D5DFSMSY4TW}

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	2026-05-18T01:21:52.465335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2956a33522a92e307343e8cb264b1c9d90a796523ef392b2ec44d5a8277315f4

Aliases

arxiv: 1510.00242 · arxiv_version: 1510.00242v1 · doi: 10.48550/arxiv.1510.00242 · pith_short_12: FFLKGNJCVEXD · pith_short_16: FFLKGNJCVEXDA42D · pith_short_8: FFLKGNJC

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/FFLKGNJCVEXDA42D5DFSMSY4TW \
  | 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: 2956a33522a92e307343e8cb264b1c9d90a796523ef392b2ec44d5a8277315f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d612806691edfb959b33ab3e3a7faaf7b5e74d4aca666352f179eb8a64cdf3c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-10-01T14:04:49Z",
    "title_canon_sha256": "3c251e756984196187306d7695962d053c9941930dd56fdacf8d347c50257b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00242",
    "kind": "arxiv",
    "version": 1
  }
}