Pith Number

pith:NWHE4LLR

pith:2021:NWHE4LLR5YMRT2OKOBJ3ZOPWR4

not attested not anchored not stored refs pending

Alcock-Paczynski effects on wide-angle galaxy statistics

Kazuyuki Akitsu, Maresuke Shiraishi, Teppei Okumura

arxiv:2103.08126 v2 · 2021-03-15 · 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{NWHE4LLR5YMRT2OKOBJ3ZOPWR4}

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	2026-07-05T02:49:53.781623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8e4e2d71ee1919e9ca7053bcb9f68f37eb1abeb59f9b96ff887436b96376a5

Aliases

arxiv: 2103.08126 · arxiv_version: 2103.08126v2 · doi: 10.48550/arxiv.2103.08126 · pith_short_12: NWHE4LLR5YMR · pith_short_16: NWHE4LLR5YMRT2OK · pith_short_8: NWHE4LLR

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/NWHE4LLR5YMRT2OKOBJ3ZOPWR4 \
  | 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: 6d8e4e2d71ee1919e9ca7053bcb9f68f37eb1abeb59f9b96ff887436b96376a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ec860e6a87671683ae9fcdfe81cb4da9a90fb535979b3b5c107f93d35bae18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-03-15T04:04:46Z",
    "title_canon_sha256": "791ebcb029fc678e0110aa1b67d32d41cc5a08816eb6d1531759861db096d0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.08126",
    "kind": "arxiv",
    "version": 2
  }
}