Pith Number

pith:DJHADZHH

pith:2005:DJHADZHHNWQM4JDH2DNIZMQC3U

not attested not anchored not stored refs pending

Is the Number of Giant Arcs in LCDM Consistent With Observations?

G.L. Li, M. Bartelmann, M. Meneghetti, S. Mao, X. Kang, Y.P. Jing

arxiv:astro-ph/0503172 v4 · 2005-03-08 · 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{DJHADZHHNWQM4JDH2DNIZMQC3U}

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	2026-07-04T16:50:57.500240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4e01e4e76da0ce2467d0da8cb202dd1dd213e87c4583f766d7a53162da71be

Aliases

arxiv: astro-ph/0503172 · arxiv_version: astro-ph/0503172v4 · doi: 10.48550/arxiv.astro-ph/0503172 · pith_short_12: DJHADZHHNWQM · pith_short_16: DJHADZHHNWQM4JDH · pith_short_8: DJHADZHH

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/DJHADZHHNWQM4JDH2DNIZMQC3U \
  | 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: 1a4e01e4e76da0ce2467d0da8cb202dd1dd213e87c4583f766d7a53162da71be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861a45a6dca7f370c7ecddda64a45cff2c52c52ca2d4982d78c3bb874bf4efad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-08T07:05:28Z",
    "title_canon_sha256": "32e319b06decb5a1704efd8289736b591212e290c94b2c48d81550129ecb9f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503172",
    "kind": "arxiv",
    "version": 4
  }
}