Pith Number

pith:FY2QKC32

pith:2000:FY2QKC32ZI6BBCCPG55BDDTRVY

not attested not anchored not stored refs pending

Possible measurement of Quintessence and density parameter using strong gravitational lensing events

Shijun Yoshida, Toshifumi Futamase

arxiv:gr-qc/0011083 v2 · 2000-11-23 · gr-qc · 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{FY2QKC32ZI6BBCCPG55BDDTRVY}

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	2026-07-04T16:19:43.740028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e35050b7aca3c10884f377a118e71ae2a159e0f3bb8065132d2277e4647c5b5

Aliases

arxiv: gr-qc/0011083 · arxiv_version: gr-qc/0011083v2 · doi: 10.48550/arxiv.gr-qc/0011083 · pith_short_12: FY2QKC32ZI6B · pith_short_16: FY2QKC32ZI6BBCCP · pith_short_8: FY2QKC32

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/FY2QKC32ZI6BBCCPG55BDDTRVY \
  | 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: 2e35050b7aca3c10884f377a118e71ae2a159e0f3bb8065132d2277e4647c5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1cd360e623e02811df4c4fd32fdb64f22bde74cf577ebc67ff5886eb3d369e1",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-11-23T12:37:59Z",
    "title_canon_sha256": "184ab161aabafc3ca477e8940dcc8cedcafe3e4becda6ab23c854cf3e0ddbf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0011083",
    "kind": "arxiv",
    "version": 2
  }
}