Pith Number

pith:DJI2WL25

pith:1999:DJI2WL25B5WNIM27C4P4W2EW7G

not attested not anchored not stored refs pending

Gravitational Lenses

F. Bernardeau (SPhT Saclay)

arxiv:astro-ph/9901117 v1 · 1999-01-11 · 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{DJI2WL25B5WNIM27C4P4W2EW7G}

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	2026-07-04T14:16:29.046112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a51ab2f5d0f6cd4335f171fcb6896f98f294f26d3099bd8d2f76a713f8a1afb

Aliases

arxiv: astro-ph/9901117 · arxiv_version: astro-ph/9901117v1 · doi: 10.48550/arxiv.astro-ph/9901117 · pith_short_12: DJI2WL25B5WN · pith_short_16: DJI2WL25B5WNIM27 · pith_short_8: DJI2WL25

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/DJI2WL25B5WNIM27C4P4W2EW7G \
  | 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: 1a51ab2f5d0f6cd4335f171fcb6896f98f294f26d3099bd8d2f76a713f8a1afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694a45ab5afef564d262947ccf76fb8f9f5b950c4bfed5ea5a8de1dfd3f013f2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-01-11T10:02:46Z",
    "title_canon_sha256": "420fdb7d5a9ff5b98558d00d9278b782710ac6a5bdcd156e8c19566a1cb55f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9901117",
    "kind": "arxiv",
    "version": 1
  }
}