Pith Number

pith:JWTYCIIB

pith:2015:JWTYCIIB57PQZU5M6IRUJBI36B

not attested not anchored not stored refs pending

The theory of stochastic cosmological lensing

Jean-Philippe Uzan, Julien Larena, Pierre Fleury

arxiv:1508.07903 v2 · 2015-08-28 · gr-qc · 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{JWTYCIIB57PQZU5M6IRUJBI36B}

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	2026-05-18T01:27:00.032329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da7812101efdf0cd3acf22344851bf046905ac4f55dc40c6f1677716c54a359

Aliases

arxiv: 1508.07903 · arxiv_version: 1508.07903v2 · doi: 10.48550/arxiv.1508.07903 · pith_short_12: JWTYCIIB57PQ · pith_short_16: JWTYCIIB57PQZU5M · pith_short_8: JWTYCIIB

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/JWTYCIIB57PQZU5M6IRUJBI36B \
  | 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: 4da7812101efdf0cd3acf22344851bf046905ac4f55dc40c6f1677716c54a359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ad5d5c7e865d8a659c59da2f1a5f35693648670553f35f8a7a38832f289b34",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-28T18:44:49Z",
    "title_canon_sha256": "2eb2a4d4e7451865b81ebd9fc79c0ea6a0b0aed69ad26e4282a9bd7b27b6d79b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07903",
    "kind": "arxiv",
    "version": 2
  }
}