Pith Number

pith:Q54RFSUD

pith:2009:Q54RFSUDMCEVDKL7ROFXMQAILX

not attested not anchored not stored refs pending

Impacts of Source Properties on Strong Lensing by Rich Galaxy Clusters

G. J. Gao, G. L. Li, S. Mao, X. Kong, Y. P. Jing

arxiv:0910.4013 v1 · 2009-10-21 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q54RFSUDMCEVDKL7ROFXMQAILX}

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	2026-05-18T02:34:17.983586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877912ca83608951a97f8b8b7640085decc194957943b15688862c440e5e9123

Aliases

arxiv: 0910.4013 · arxiv_version: 0910.4013v1 · doi: 10.48550/arxiv.0910.4013 · pith_short_12: Q54RFSUDMCEV · pith_short_16: Q54RFSUDMCEVDKL7 · pith_short_8: Q54RFSUD

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/Q54RFSUDMCEVDKL7ROFXMQAILX \
  | 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: 877912ca83608951a97f8b8b7640085decc194957943b15688862c440e5e9123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d6713d540024a6ab6ebed83f7971665aaf32dd41d9ca18e6bdb18c0d5d237e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-10-21T08:02:11Z",
    "title_canon_sha256": "75d024728fa4a358ffae264006734f14fff4d76ad505b444c3c905089848655b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4013",
    "kind": "arxiv",
    "version": 1
  }
}