Pith Number

pith:7MNOHKVN

pith:2019:7MNOHKVN4BJEEEAOY2KL4R64PC

not attested not anchored not stored refs pending

Machine learning and Kolmogorov analysis to reveal gravitational lenses

G. Yegorian, H. Khachatryan, S. S. Mirzoyan, V.G. Gurzadyan

arxiv:1908.02517 v2 · 2019-08-07 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MNOHKVN4BJEEEAOY2KL4R64PC}

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	2026-07-05T00:03:00.316815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1ae3aaade05242100ec694be47dc78883589d88bba4d7168578403b8b884df

Aliases

arxiv: 1908.02517 · arxiv_version: 1908.02517v2 · doi: 10.48550/arxiv.1908.02517 · pith_short_12: 7MNOHKVN4BJE · pith_short_16: 7MNOHKVN4BJEEEAO · pith_short_8: 7MNOHKVN

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/7MNOHKVN4BJEEEAOY2KL4R64PC \
  | 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: fb1ae3aaade05242100ec694be47dc78883589d88bba4d7168578403b8b884df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed3ded73ade6532462209013c7fd8f2f3317946c205393176b19b15cdb07042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2019-08-07T10:31:25Z",
    "title_canon_sha256": "49e57458c47334945660b8e529f18de3b88bf0aae8f2748703dd56e4e40db097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02517",
    "kind": "arxiv",
    "version": 2
  }
}