Pith Number

pith:AM5CVAVA

pith:1999:AM5CVAVARIQHDU2GURINXTZVZ4

not attested not anchored not stored refs pending

Gravitational lensing as folds in the sky

Esteban Roulet, Silvia Mollerach

arxiv:astro-ph/9910205 v2 · 1999-10-12 · astro-ph · 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{AM5CVAVARIQHDU2GURINXTZVZ4}

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	2026-05-18T00:54:16.121150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033a2a82a08a2071d346a450dbcf35cf0e1b38ee6d98cd6fa6e6c756fa32067c

Aliases

arxiv: astro-ph/9910205 · arxiv_version: astro-ph/9910205v2 · doi: 10.48550/arxiv.astro-ph/9910205 · pith_short_12: AM5CVAVARIQH · pith_short_16: AM5CVAVARIQHDU2G · pith_short_8: AM5CVAVA

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/AM5CVAVARIQHDU2GURINXTZVZ4 \
  | 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: 033a2a82a08a2071d346a450dbcf35cf0e1b38ee6d98cd6fa6e6c756fa32067c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff026ee95355906c51b44f6c478a54965a8b66e0ad0f3c7f1fee49b3da97fca",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-10-12T12:27:15Z",
    "title_canon_sha256": "462cfad1a72a122ba913f3c016bd536ee4a5bda8ee72dcb1176c9ec743e29a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9910205",
    "kind": "arxiv",
    "version": 2
  }
}