Pith Number

pith:PT625LFZ

pith:2001:PT625LFZHXP4E4RI65UTDGX67P

not attested not anchored not stored refs pending

Feasibility of Probing Dark Energy with Strong Gravitational Lensing Systems -- Fisher-Matrix Approach --

Kazuhiro Yamamoto, Toshifumi Futamase, Tsukasa Murata, Yasufum Kadoya

arxiv:astro-ph/0110595 v1 · 2001-10-29 · 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{PT625LFZHXP4E4RI65UTDGX67P}

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	2026-07-04T16:24:21.658908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfdaeacb93ddfc27228f769319afefbf145ca5cd4ae52ddf062c81a7d3c2d16

Aliases

arxiv: astro-ph/0110595 · arxiv_version: astro-ph/0110595v1 · doi: 10.48550/arxiv.astro-ph/0110595 · pith_short_12: PT625LFZHXP4 · pith_short_16: PT625LFZHXP4E4RI · pith_short_8: PT625LFZ

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/PT625LFZHXP4E4RI65UTDGX67P \
  | 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: 7cfdaeacb93ddfc27228f769319afefbf145ca5cd4ae52ddf062c81a7d3c2d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b3fdea6abc5318d845758cf241d554c14fa0402784e9f509b9d170740553b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-10-29T02:22:27Z",
    "title_canon_sha256": "dadcf8efaf4ef10d48b91c3da8ea619952185f2c7a6aaa59e9633a9fdf39cb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0110595",
    "kind": "arxiv",
    "version": 1
  }
}