Pith Number

pith:QAZQMMNF

pith:2001:QAZQMMNFDYSP47PCDEONICESD2

not attested not anchored not stored refs pending

Constraining the Cosmological Parameters using Strong Lensing

France), G. Golse, G. Soucail (LAOMP, J.-P. Kneib, Toulouse

arxiv:astro-ph/0103500 v2 · 2001-03-29 · 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{QAZQMMNFDYSP47PCDEONICESD2}

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	2026-07-04T16:22:57.647520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80330631a51e24fe7de2191cd408921e937bbb7f5020545f39fc9453f093324f

Aliases

arxiv: astro-ph/0103500 · arxiv_version: astro-ph/0103500v2 · doi: 10.48550/arxiv.astro-ph/0103500 · pith_short_12: QAZQMMNFDYSP · pith_short_16: QAZQMMNFDYSP47PC · pith_short_8: QAZQMMNF

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/QAZQMMNFDYSP47PCDEONICESD2 \
  | 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: 80330631a51e24fe7de2191cd408921e937bbb7f5020545f39fc9453f093324f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97dea2def81d5a7d4c1db5471b08e0bda0eb1a5171af1ec433c6b9a2ef0397a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-03-29T16:34:58Z",
    "title_canon_sha256": "4b58342218911c6729e3139a7efa53821fd84a20a2a0ff8469e9094fcacb4d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0103500",
    "kind": "arxiv",
    "version": 2
  }
}