Pith Number

pith:NIYOPW3T

pith:2016:NIYOPW3TZRIFZ3VQZBWQBETWA5

not attested not anchored not stored refs pending

Second order singular pertubative theory for gravitational lenses

C. Alard

arxiv:1607.01365 v1 · 2016-07-05 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIYOPW3TZRIFZ3VQZBWQBETWA5}

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	2026-05-18T01:11:27.998898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a30e7db73cc505ceeb0c86d009276076c9f360117a6bedfff9b66b36e141afe

Aliases

arxiv: 1607.01365 · arxiv_version: 1607.01365v1 · doi: 10.48550/arxiv.1607.01365 · pith_short_12: NIYOPW3TZRIF · pith_short_16: NIYOPW3TZRIFZ3VQ · pith_short_8: NIYOPW3T

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/NIYOPW3TZRIFZ3VQZBWQBETWA5 \
  | 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: 6a30e7db73cc505ceeb0c86d009276076c9f360117a6bedfff9b66b36e141afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1848a255eb01c110cdd251c21aca332a5d23d4e437192e540db8c77b47c0c4d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-07-05T18:53:25Z",
    "title_canon_sha256": "90d5258678401483476ae3678655e9e340b694d4f8d94d723e17cec8b6db58e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01365",
    "kind": "arxiv",
    "version": 1
  }
}