Pith Number

pith:FNSUE5H5

pith:2004:FNSUE5H5JV2TYKH5HHYYKBKVWI

not attested not anchored not stored refs pending

Improved Cosmological Constraints from Gravitational Lens Statistics

C. R. Keeton, J. A Frieman, J. L. Mitchell, R. K. Sheth

arxiv:astro-ph/0401138 v4 · 2004-01-08 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNSUE5H5JV2TYKH5HHYYKBKVWI}

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	2026-05-18T04:22:19.692688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b654274fd4d753c28fd39f1850555b22db8b9ae1b308310fdca57640e5c007f

Aliases

arxiv: astro-ph/0401138 · arxiv_version: astro-ph/0401138v4 · doi: 10.48550/arxiv.astro-ph/0401138 · pith_short_12: FNSUE5H5JV2T · pith_short_16: FNSUE5H5JV2TYKH5 · pith_short_8: FNSUE5H5

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/FNSUE5H5JV2TYKH5HHYYKBKVWI \
  | 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: 2b654274fd4d753c28fd39f1850555b22db8b9ae1b308310fdca57640e5c007f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa885472b2fef7ba81a8000b52f00928457bf234f9413032b3ae0aff16ee1996",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-01-08T23:33:15Z",
    "title_canon_sha256": "276fe728c4a4bc7b7fbe10d4b926a2165b307ebed744302496eca75ed176d962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0401138",
    "kind": "arxiv",
    "version": 4
  }
}