Pith Number

pith:PCXQZZ4L

pith:2012:PCXQZZ4LJU4IBHR4LVQNLLIFGK

not attested not anchored not stored refs pending

Bar pattern speed evolution over the last 7 Gyr

I. Perez (UGR, J.A.L. Aguerri (IAC, J. Mendez-Abreu (IAC, Spain)

arxiv:1202.1929 v1 · 2012-02-09 · 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{PCXQZZ4LJU4IBHR4LVQNLLIFGK}

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	2026-05-18T01:58:31.892199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78af0ce78b4d38809e3c5d60d5ad05328173b1ef08ba9b4368dfda612ee1d09d

Aliases

arxiv: 1202.1929 · arxiv_version: 1202.1929v1 · doi: 10.48550/arxiv.1202.1929 · pith_short_12: PCXQZZ4LJU4I · pith_short_16: PCXQZZ4LJU4IBHR4 · pith_short_8: PCXQZZ4L

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/PCXQZZ4LJU4IBHR4LVQNLLIFGK \
  | 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: 78af0ce78b4d38809e3c5d60d5ad05328173b1ef08ba9b4368dfda612ee1d09d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4c0915b094e9a49e2d1f1f01abd8322569c3bea8d98ddfb148d79bd20f2ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-02-09T09:52:41Z",
    "title_canon_sha256": "adeaadf7104973db3d29a1cca9675198e0c14a4112638f96d7a8ae733e4a398c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1929",
    "kind": "arxiv",
    "version": 1
  }
}