Pith Number

pith:ALGDC4BL

pith:1997:ALGDC4BLXWVIQ5GSZCTETGBBOW

not attested not anchored not stored refs pending

Detection of Gravitational Lenses and Measurement of Time Delays from Classical Electromagnetic Radiation Fluctuations

Ermanno F. Borra

arxiv:astro-ph/9704074 v1 · 1997-04-09 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALGDC4BLXWVIQ5GSZCTETGBBOW}

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	2026-05-18T01:40:17.821133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02cc31702bbdaa8874d2c8a6499821759a494c3f4965284fea54a13347fefef0

Aliases

arxiv: astro-ph/9704074 · arxiv_version: astro-ph/9704074v1 · doi: 10.48550/arxiv.astro-ph/9704074 · pith_short_12: ALGDC4BLXWVI · pith_short_16: ALGDC4BLXWVIQ5GS · pith_short_8: ALGDC4BL

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/ALGDC4BLXWVIQ5GSZCTETGBBOW \
  | 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: 02cc31702bbdaa8874d2c8a6499821759a494c3f4965284fea54a13347fefef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f72900bd3522e06356fc218277f187f58a24027d06e8fc851f97596b4b2db3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-04-09T20:44:49Z",
    "title_canon_sha256": "728c99cdd0cb78e1532f78bece549c15cd74b7f134b8aa632243569c0361313f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9704074",
    "kind": "arxiv",
    "version": 1
  }
}