Pith Number

pith:3ZEXNOEN

pith:2012:3ZEXNOENAXO75YVBIQC6SIBU5N

not attested not anchored not stored refs pending

Detection of Substructure in the Gravitationally Lensed Quasar MG0414+0534 using Mid-Infrared and Radio VLBI Observations

Chelsea L MacLeod, Christopher S. Kochanek, Eric Agol, Ramsey Jones

arxiv:1212.2166 v2 · 2012-12-10 · 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{3ZEXNOENAXO75YVBIQC6SIBU5N}

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	2026-05-18T03:17:44.583486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4976b88d05ddfee2a14405e92034eb4885ffc4b848de37404bc07c7975837c

Aliases

arxiv: 1212.2166 · arxiv_version: 1212.2166v2 · doi: 10.48550/arxiv.1212.2166 · pith_short_12: 3ZEXNOENAXO7 · pith_short_16: 3ZEXNOENAXO75YVB · pith_short_8: 3ZEXNOEN

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/3ZEXNOENAXO75YVBIQC6SIBU5N \
  | 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: de4976b88d05ddfee2a14405e92034eb4885ffc4b848de37404bc07c7975837c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68927489fa45cc909d29debe6a7fdac5dd0e9c7dde9a6a359ed1cb775a9e5f50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-10T18:48:58Z",
    "title_canon_sha256": "5273c8a0ca2745efcfcddf1c226d641a1ca725661aa847425b8bbbe6e2142111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2166",
    "kind": "arxiv",
    "version": 2
  }
}