Pith Number

pith:TJFW6A4X

pith:2015:TJFW6A4XLEY4YTCNG7CHTUMU3P

not attested not anchored not stored refs pending

Lens galaxies in the Illustris simulation: power-law models and the bias of the Hubble constant from time-delays

Dandan Xu, Dominique Sluse, Dylan Nelson, Lars Hernquist, Mark Vogelsberger, Peter Schneider, Volker Springel

arxiv:1507.07937 v2 · 2015-07-28 · astro-ph.GA · 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{TJFW6A4XLEY4YTCNG7CHTUMU3P}

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	2026-05-18T00:46:43.172303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4b6f03975931cc4c4d37c479d194dbc4b972e94c493af1229b163e4b596abe

Aliases

arxiv: 1507.07937 · arxiv_version: 1507.07937v2 · doi: 10.48550/arxiv.1507.07937 · pith_short_12: TJFW6A4XLEY4 · pith_short_16: TJFW6A4XLEY4YTCN · pith_short_8: TJFW6A4X

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/TJFW6A4XLEY4YTCNG7CHTUMU3P \
  | 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: 9a4b6f03975931cc4c4d37c479d194dbc4b972e94c493af1229b163e4b596abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e298b89f2decbc2b607ace3606a6cb62e8b4e26e35c8a1b99cd4f8483192714d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-07-28T20:01:21Z",
    "title_canon_sha256": "282ac6c08d4ef8d519dc65bb95a778cf5e704cd1ad35ed974ead23c2a3277e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07937",
    "kind": "arxiv",
    "version": 2
  }
}