Pith Number

pith:Z2TGBVN2

pith:2026:Z2TGBVN2NXA3ACRN452MROSFLH

not attested not anchored not stored refs pending

Study of dark interactions through strong gravitational lenses

F. Villalobos, J. Magana, T. Verdugo

arxiv:2605.16155 v1 · 2026-05-15 · 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{Z2TGBVN2NXA3ACRN452MROSFLH}

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	2026-05-20T00:01:55.350295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea660d5ba6dc1b00a2de774c8ba4559d559100d22eb9013d387a84c82072419

Aliases

arxiv: 2605.16155 · arxiv_version: 2605.16155v1 · doi: 10.48550/arxiv.2605.16155 · pith_short_12: Z2TGBVN2NXA3 · pith_short_16: Z2TGBVN2NXA3ACRN · pith_short_8: Z2TGBVN2

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/Z2TGBVN2NXA3ACRN452MROSFLH \
  | 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: cea660d5ba6dc1b00a2de774c8ba4559d559100d22eb9013d387a84c82072419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5b7fb8f10b6a5e57ac6b9edc5bf5a1107c87206fe9079ed8f095cdaf77487a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-15T16:34:10Z",
    "title_canon_sha256": "852aa7770c5b6f7c7db13222092527e58d6dcb436269eaa21c99c6f2c0eec4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16155",
    "kind": "arxiv",
    "version": 1
  }
}