Pith Number

pith:NCMOYVMK

pith:2018:NCMOYVMKJ53ARELFFRJKA46WF4

not attested not anchored not stored refs pending

Generalised model-independent characterisation of strong gravitational lenses IV: formalism-intrinsic degeneracies

Jenny Wagner

arxiv:1809.03505 v2 · 2018-09-10 · astro-ph.CO · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCMOYVMKJ53ARELFFRJKA46WF4}

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	2026-05-17T23:59:05.279815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6898ec558a4f760891652c52a073d62f07beb97b5e4c090c6f3aea45d0382d58

Aliases

arxiv: 1809.03505 · arxiv_version: 1809.03505v2 · doi: 10.48550/arxiv.1809.03505 · pith_short_12: NCMOYVMKJ53A · pith_short_16: NCMOYVMKJ53ARELF · pith_short_8: NCMOYVMK

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/NCMOYVMKJ53ARELFFRJKA46WF4 \
  | 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: 6898ec558a4f760891652c52a073d62f07beb97b5e4c090c6f3aea45d0382d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c752762c173be8207a017f0c71aa7467390d1c1ae19afff577a0c033ca744ceb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-09-10T18:00:02Z",
    "title_canon_sha256": "35de793717039089bd11d5affc39d8ec62955cfada70bcce3b3a00286db80e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03505",
    "kind": "arxiv",
    "version": 2
  }
}