Pith Number

pith:BIIIY6M4

pith:2011:BIIIY6M4VLJ3NOJOZFVTSVOG6I

not attested not anchored not stored refs pending

X-Ray And Optical Flux Ratio Anomalies In Quadruply Lensed Quasars. II. Mapping the Dark Matter Content in Elliptical Galaxies

David Pooley, Jeffrey A. Blackburne, Joachim Wambsganss, Paul L. Schechter, Saul Rappaport

arxiv:1108.2725 v2 · 2011-08-12 · astro-ph.HE · 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{BIIIY6M4VLJ3NOJOZFVTSVOG6I}

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	2026-05-18T02:00:54.464084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a108c799caad3b6b92ec96b3955c6f201cae130c7b4ec8c77e8bdc4b7a0689d

Aliases

arxiv: 1108.2725 · arxiv_version: 1108.2725v2 · doi: 10.48550/arxiv.1108.2725 · pith_short_12: BIIIY6M4VLJ3 · pith_short_16: BIIIY6M4VLJ3NOJO · pith_short_8: BIIIY6M4

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/BIIIY6M4VLJ3NOJOZFVTSVOG6I \
  | 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: 0a108c799caad3b6b92ec96b3955c6f201cae130c7b4ec8c77e8bdc4b7a0689d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994964bd26f387712dd9caa3b81887fbb471db20180e0a00e625de61f3dc973d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2011-08-12T21:50:09Z",
    "title_canon_sha256": "896eb96c4d72801a2fc01eeb68091db2f341e048331e442b4bd48c143fdafe6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2725",
    "kind": "arxiv",
    "version": 2
  }
}