Pith Number

pith:4DOWEMBW

pith:2015:4DOWEMBW66VDSB76KH5JYPEYXN

not attested not anchored not stored refs pending

Precision cosmology with time delay lenses: high resolution imaging requirements

Adriano Agnello, Kai Liao, Matthew W. Auger, Philip J. Marshall, Tommaso Treu, Xiao-Lei Meng

arxiv:1506.07640 v2 · 2015-06-25 · 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{4DOWEMBW66VDSB76KH5JYPEYXN}

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	2026-05-18T01:30:58.281522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0dd623036f7aa3907fe51fa9c3c98bb573a24b1b182c3a60fd1619dd99ed036

Aliases

arxiv: 1506.07640 · arxiv_version: 1506.07640v2 · doi: 10.48550/arxiv.1506.07640 · pith_short_12: 4DOWEMBW66VD · pith_short_16: 4DOWEMBW66VDSB76 · pith_short_8: 4DOWEMBW

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/4DOWEMBW66VDSB76KH5JYPEYXN \
  | 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: e0dd623036f7aa3907fe51fa9c3c98bb573a24b1b182c3a60fd1619dd99ed036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5e91bc3345e70be0d0c703c717c62cd0d109423b8db9846b8ff0f2e07cc06c",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-06-25T07:18:50Z",
    "title_canon_sha256": "8df1ea1d22f3f2fe84563334f2bb0a15f4c0a90234295d58b29c7823824f30c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07640",
    "kind": "arxiv",
    "version": 2
  }
}