Pith Number

pith:4LJ6FI2X

pith:2009:4LJ6FI2XAE2TAQTMMCP3Z5I2ZN

not attested not anchored not stored refs pending

Galaxy-Scale Strong Lensing Tests of Gravity and Geometric Cosmology: Constraints and Systematic Limitations

Adam S. Bolton, Josiah Schwab, Saul A. Rappaport

arxiv:0907.4992 v2 · 2009-07-28 · 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{4LJ6FI2XAE2TAQTMMCP3Z5I2ZN}

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	2026-05-18T02:12:46.900846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d3e2a357013530426c609fbcf51acb5d13dcc7f39d91136c2e2bd23fa14dc0

Aliases

arxiv: 0907.4992 · arxiv_version: 0907.4992v2 · doi: 10.48550/arxiv.0907.4992 · pith_short_12: 4LJ6FI2XAE2T · pith_short_16: 4LJ6FI2XAE2TAQTM · pith_short_8: 4LJ6FI2X

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/4LJ6FI2XAE2TAQTMMCP3Z5I2ZN \
  | 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: e2d3e2a357013530426c609fbcf51acb5d13dcc7f39d91136c2e2bd23fa14dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a35843489465d7d92972dc644eb0cc3074fad1ecb8f537c77f97c23e6e9963",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-07-28T20:14:43Z",
    "title_canon_sha256": "0a04a4904708f19c5ff271df02d7e92ae68863322aa15af04cf5529114447246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4992",
    "kind": "arxiv",
    "version": 2
  }
}