Pith Number

pith:CQILA56X

pith:2021:CQILA56X3XBC7GV6E6MBX4DJIE

not attested not anchored not stored refs pending

An Empirical Estimation of the Galaxy Radio Number Counts model at 3~GHz and the Effect of Gravitational Lensing

K.T. Kono, T.T. Takeuchi

arxiv:2112.01672 v1 · 2021-12-03 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQILA56X3XBC7GV6E6MBX4DJIE}

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	2026-07-05T03:37:30.629636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1410b077d7ddc22f9abe27981bf069412c4d70ca3dd8394f60e6427f881b8884

Aliases

arxiv: 2112.01672 · arxiv_version: 2112.01672v1 · doi: 10.48550/arxiv.2112.01672 · pith_short_12: CQILA56X3XBC · pith_short_16: CQILA56X3XBC7GV6 · pith_short_8: CQILA56X

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/CQILA56X3XBC7GV6E6MBX4DJIE \
  | 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: 1410b077d7ddc22f9abe27981bf069412c4d70ca3dd8394f60e6427f881b8884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae46ea9fc5c01e2a19a446dcecb2cf16d96987dd07b6ea9909ced96a3e87a7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-12-03T01:48:27Z",
    "title_canon_sha256": "bcec62d29b3a97dd39593f38a8494faa256eb1293eb42c8079693b06f9fd881d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01672",
    "kind": "arxiv",
    "version": 1
  }
}