Pith Number

pith:CL2OPZNC

pith:2013:CL2OPZNCLAQGAW64MQZR43MJV6

not attested not anchored not stored refs pending

Quasar lensing

Jodrell Bank Centre for Astrophysics), Neal Jackson (University of Manchester, School of Physics & Astronomy

arxiv:1304.4172 v1 · 2013-04-15 · 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{CL2OPZNCLAQGAW64MQZR43MJV6}

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	2026-05-18T03:27:55.303620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f4e7e5a25820605bdc64331e6d89afae42e6d219aaca7e945fec3ec0f1353b

Aliases

arxiv: 1304.4172 · arxiv_version: 1304.4172v1 · doi: 10.48550/arxiv.1304.4172 · pith_short_12: CL2OPZNCLAQG · pith_short_16: CL2OPZNCLAQGAW64 · pith_short_8: CL2OPZNC

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/CL2OPZNCLAQGAW64MQZR43MJV6 \
  | 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: 12f4e7e5a25820605bdc64331e6d89afae42e6d219aaca7e945fec3ec0f1353b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada61bcc92b265d777672b3c6ff9c1480db5d9b74b0f54c7beb4499dd1eb3e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-04-15T17:07:52Z",
    "title_canon_sha256": "96358821b91a1ae70cc100bc199c10099585c53e7aef1012ba6911acadeaf72a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4172",
    "kind": "arxiv",
    "version": 1
  }
}