Pith Number

pith:H3X2JRIB

pith:2011:H3X2JRIBEZM2XLD5QMNL7UZWLH

not attested not anchored not stored refs pending

Time delays for 11 gravitationally lensed quasars revisited

Eva Eulaers, Pierre Magain

arxiv:1112.2609 v2 · 2011-12-12 · astro-ph.CO · 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{H3X2JRIBEZM2XLD5QMNL7UZWLH}

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	2026-05-18T04:05:46.761547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eefa4c5012659abac7d831abfd33659e079e478aaf596c384fb8d54096f991f

Aliases

arxiv: 1112.2609 · arxiv_version: 1112.2609v2 · doi: 10.48550/arxiv.1112.2609 · pith_short_12: H3X2JRIBEZM2 · pith_short_16: H3X2JRIBEZM2XLD5 · pith_short_8: H3X2JRIB

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/H3X2JRIBEZM2XLD5QMNL7UZWLH \
  | 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: 3eefa4c5012659abac7d831abfd33659e079e478aaf596c384fb8d54096f991f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f325dfefb7512b3777c16e3f9bc00f1924a997bf2ff8c5c24f176f8e1c1854ee",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-12T16:27:53Z",
    "title_canon_sha256": "93032f43de7b171427c181482432a6f10f7e1794f84ceb30dde994a90c6e10d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2609",
    "kind": "arxiv",
    "version": 2
  }
}