Pith Number

pith:ATYI2LIY

pith:1996:ATYI2LIYOBHOLLRVKXFTRACZM2

not attested not anchored not stored refs pending

Through a Lens Darkly: Evidence for Dusty Gravitational Lenses

Edwin L. Turner (Princeton), James E. Rhoads (KPNO), Sangeeta Malhotra (IPAC)

arxiv:astro-ph/9610233 v1 · 1996-10-29 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATYI2LIYOBHOLLRVKXFTRACZM2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:40:19.019638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f08d2d18704ee5ae3555cb38805966b69438200ff3b41a89a6e05da6865895

Aliases

arxiv: astro-ph/9610233 · arxiv_version: astro-ph/9610233v1 · doi: 10.48550/arxiv.astro-ph/9610233 · pith_short_12: ATYI2LIYOBHO · pith_short_16: ATYI2LIYOBHOLLRV · pith_short_8: ATYI2LIY

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/ATYI2LIYOBHOLLRVKXFTRACZM2 \
  | 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: 04f08d2d18704ee5ae3555cb38805966b69438200ff3b41a89a6e05da6865895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16aeb9022075cb5b02dcf5839e7e745b8da42b2cdd94dc208665a2af7f5b5111",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-10-29T04:24:04Z",
    "title_canon_sha256": "561106cd1a455201693164e61009e271ac2668a8993a76a3fcb75c589f072eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9610233",
    "kind": "arxiv",
    "version": 1
  }
}