Pith Number

pith:OTYSJPMA

pith:2015:OTYSJPMAPQ4XJLNDVQC6O2MX75

not attested not anchored not stored refs pending

Model-independent characterisation of strong gravitational lenses

Jenny Wagner, Matthias Bartelmann

arxiv:1510.03171 v1 · 2015-10-12 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTYSJPMAPQ4XJLNDVQC6O2MX75}

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	2026-05-18T01:15:44.400900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f124bd807c3974ada3ac05e76997ff5ffdfcb56f607180080468aca6f5a7be

Aliases

arxiv: 1510.03171 · arxiv_version: 1510.03171v1 · doi: 10.48550/arxiv.1510.03171 · pith_short_12: OTYSJPMAPQ4X · pith_short_16: OTYSJPMAPQ4XJLND · pith_short_8: OTYSJPMA

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/OTYSJPMAPQ4XJLNDVQC6O2MX75 \
  | 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: 74f124bd807c3974ada3ac05e76997ff5ffdfcb56f607180080468aca6f5a7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5a71c2b3f9a6c644a152fe3d42fe300339295710f37accbf1b7d73ee02fd11",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-10-12T07:45:31Z",
    "title_canon_sha256": "e41b4531ded39bcf1258b4f2260207dad19611d22b8bbdf472028650f2ea5f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03171",
    "kind": "arxiv",
    "version": 1
  }
}