Pith Number

pith:6KXMZRGB

pith:2019:6KXMZRGBXE7Z37RDVDQRL4H7WP

not attested not anchored not stored refs pending

Generalised model-independent characterisation of strong gravitational lenses VI: the origin of the formalism intrinsic degeneracies and their influence on $H_0$

Jenny Wagner

arxiv:1904.07239 v2 · 2019-04-15 · 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{6KXMZRGBXE7Z37RDVDQRL4H7WP}

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	2026-05-17T23:43:02.551158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2aeccc4c1b93f9dfe23a8e115f0ffb3ce47f20310799a8cba6c1f85c5931675

Aliases

arxiv: 1904.07239 · arxiv_version: 1904.07239v2 · doi: 10.48550/arxiv.1904.07239 · pith_short_12: 6KXMZRGBXE7Z · pith_short_16: 6KXMZRGBXE7Z37RD · pith_short_8: 6KXMZRGB

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/6KXMZRGBXE7Z37RDVDQRL4H7WP \
  | 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: f2aeccc4c1b93f9dfe23a8e115f0ffb3ce47f20310799a8cba6c1f85c5931675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef280f84154cc494dfc89fcf99a72e18722828392b483999acc713f05ac70c15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-04-15T18:00:00Z",
    "title_canon_sha256": "5c79794ad8dd4bbb3522414a583a3aa8f5c7935fec01b65583090cd598a0ab9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07239",
    "kind": "arxiv",
    "version": 2
  }
}