Pith Number

pith:B7T2C7OO

pith:2019:B7T2C7OOR7PEI27MG24PLFU4FY

not attested not anchored not stored refs pending

Differentiable Strong Lensing: Uniting Gravity and Neural Nets through Differentiable Probabilistic Programming

Adam Coogan, Christoph Weniger, Marco Chianese, Paul Hofma, Sydney Otten

arxiv:1910.06157 v2 · 2019-10-14 · astro-ph.CO · astro-ph.GA · astro-ph.IM · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7T2C7OOR7PEI27MG24PLFU4FY}

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	2026-07-05T01:07:11.587598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe7a17dce8fde446bec36b8f5969c2e1e860d5a301f365f121408380fd10738

Aliases

arxiv: 1910.06157 · arxiv_version: 1910.06157v2 · doi: 10.48550/arxiv.1910.06157 · pith_short_12: B7T2C7OOR7PE · pith_short_16: B7T2C7OOR7PEI27M · pith_short_8: B7T2C7OO

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/B7T2C7OOR7PEI27MG24PLFU4FY \
  | 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: 0fe7a17dce8fde446bec36b8f5969c2e1e860d5a301f365f121408380fd10738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d70a5eea14894cefaba67705eb5d3d79b4dbf89c6277de2ed32b3197f73709",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.IM",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-10-14T14:10:30Z",
    "title_canon_sha256": "06adf052e2bd4e7e42fb061a04d01a665d7151cfdaed3980984edddafb75078c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06157",
    "kind": "arxiv",
    "version": 2
  }
}