Pith Number

pith:4L7N5A2Y

pith:2026:4L7N5A2YLJXFFJGVPVLBE7B4N7

not attested not anchored not stored refs pending

Bar-driven secular evolution largely complete in a disk galaxy 7.6 billion years ago

Emily Wisnioski, Joss Bland-Hawthorn, Karl Glazebrook, Satoru Iguchi, Takafumi Tsukui, Themiya Nanayakkara, Zeyu Gao

arxiv:2607.00982 v1 · 2026-07-01 · 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{4L7N5A2YLJXFFJGVPVLBE7B4N7}

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	2026-07-02T01:18:25.146971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2fede83585a6e52a4d57d56127c3c6fdbf8dd2f51b615efc67bf7a6684dfc04

Aliases

arxiv: 2607.00982 · arxiv_version: 2607.00982v1 · doi: 10.48550/arxiv.2607.00982 · pith_short_12: 4L7N5A2YLJXF · pith_short_16: 4L7N5A2YLJXFFJGV · pith_short_8: 4L7N5A2Y

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/4L7N5A2YLJXFFJGVPVLBE7B4N7 \
  | 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: e2fede83585a6e52a4d57d56127c3c6fdbf8dd2f51b615efc67bf7a6684dfc04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65364cde122b73d294599cdeed60f627624812b6933e6ce4c57b521e1650d5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-07-01T14:18:37Z",
    "title_canon_sha256": "b856797f48a652e9fc915afb51153272034d0647a357f80b5ae5e4acb14187d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00982",
    "kind": "arxiv",
    "version": 1
  }
}