Pith Number

pith:X6X5TAV5

pith:2019:X6X5TAV55VZGUKJ4VDEPTQLT5D

not attested not anchored not stored refs pending

Model-independent and model-based local lensing properties of B0128+437 from resolved quasar images

Jenny Wagner, Liliya L. R. Williams

arxiv:1909.01349 v1 · 2019-09-03 · astro-ph.GA · 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{X6X5TAV55VZGUKJ4VDEPTQLT5D}

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	2026-07-05T00:46:48.329109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfafd982bded726a293ca8c8f9c173e8c529de0029f64044fde0ba44593ab4d5

Aliases

arxiv: 1909.01349 · arxiv_version: 1909.01349v1 · doi: 10.48550/arxiv.1909.01349 · pith_short_12: X6X5TAV55VZG · pith_short_16: X6X5TAV55VZGUKJ4 · pith_short_8: X6X5TAV5

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/X6X5TAV55VZGUKJ4VDEPTQLT5D \
  | 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: bfafd982bded726a293ca8c8f9c173e8c529de0029f64044fde0ba44593ab4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ffd257ef5f6a530d10806846942c602be820149a267633c9bac46e955da6b40",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-09-03T18:00:01Z",
    "title_canon_sha256": "b330c6c85e1ddc0f7006f8b2cef501dae0a267915c922fc8f5b0f76d57d03081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01349",
    "kind": "arxiv",
    "version": 1
  }
}