Pith Number

pith:HUIKNPXH

pith:2010:HUIKNPXHPGVZFRWAEYPCLGQJBI

not attested not anchored not stored refs pending

Effects of Strong Gravitational Lensing on Millimeter-Wave Galaxy Number Counts

Gilbert P. Holder, Yashar D. Hezaveh

arxiv:1010.0998 v2 · 2010-10-05 · 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{HUIKNPXHPGVZFRWAEYPCLGQJBI}

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	2026-05-18T02:23:46.537906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d10a6bee779ab92c6c0261e259a090a367a7b16242c67007a139edc09f83541

Aliases

arxiv: 1010.0998 · arxiv_version: 1010.0998v2 · doi: 10.48550/arxiv.1010.0998 · pith_short_12: HUIKNPXHPGVZ · pith_short_16: HUIKNPXHPGVZFRWA · pith_short_8: HUIKNPXH

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/HUIKNPXHPGVZFRWAEYPCLGQJBI \
  | 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: 3d10a6bee779ab92c6c0261e259a090a367a7b16242c67007a139edc09f83541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a0e62efef0ce7b69e62f689d0c91648acdc6547af2f36de56d32eda54040bfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-05T19:47:47Z",
    "title_canon_sha256": "7bdce40b6e49fd9ea0c0959818c6ce1abdf2b9ad94b66f250e2a21055b55df03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0998",
    "kind": "arxiv",
    "version": 2
  }
}