Pith Number

pith:BABAJKZ3

pith:2005:BABAJKZ3R6B7SFDD5JOBQPDVTM

not attested not anchored not stored refs pending

Testing a new analytic model for gravitational lensing probabilities

Jeremiah P. Ostriker, Sudeep Das

arxiv:astro-ph/0512644 v2 · 2005-12-29 · 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{BABAJKZ3R6B7SFDD5JOBQPDVTM}

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	2026-05-18T04:36:29.504332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080204ab3b8f83f91463ea5c183c759b2784f7c95571dc9a1bd97f833a57a3eb

Aliases

arxiv: astro-ph/0512644 · arxiv_version: astro-ph/0512644v2 · doi: 10.48550/arxiv.astro-ph/0512644 · pith_short_12: BABAJKZ3R6B7 · pith_short_16: BABAJKZ3R6B7SFDD · pith_short_8: BABAJKZ3

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/BABAJKZ3R6B7SFDD5JOBQPDVTM \
  | 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: 080204ab3b8f83f91463ea5c183c759b2784f7c95571dc9a1bd97f833a57a3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73db5c64dc5c572cf7a65bd60f4893321bee87c0cf29a840720592b90b83585d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-12-29T22:07:09Z",
    "title_canon_sha256": "679e51a27158fd3106bd5d95aabf7ebfdca965b9b7f0c53fc97218767e27c195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0512644",
    "kind": "arxiv",
    "version": 2
  }
}