Pith Number

pith:7BOBNEO2

pith:2011:7BOBNEO2WQ23SFSCIRAVVYBUEZ

not attested not anchored not stored refs pending

Gravitational Fragmentation of Expanding Shells. I. Linear Analysis

Kazunari Iwasaki, Shu-ichiro Inutsuka, Toru Tsuribe

arxiv:1103.2909 v3 · 2011-03-15 · astro-ph.GA · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BOBNEO2WQ23SFSCIRAVVYBUEZ}

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	2026-05-18T02:02:53.331694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85c1691dab435b9164244415ae034266916daaf74671647bbb4ee888461c480

Aliases

arxiv: 1103.2909 · arxiv_version: 1103.2909v3 · doi: 10.48550/arxiv.1103.2909 · pith_short_12: 7BOBNEO2WQ23 · pith_short_16: 7BOBNEO2WQ23SFSC · pith_short_8: 7BOBNEO2

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/7BOBNEO2WQ23SFSCIRAVVYBUEZ \
  | 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: f85c1691dab435b9164244415ae034266916daaf74671647bbb4ee888461c480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411410e721562587a3d640c686ce9db80fb0a139327e1cd7cf0cf458dd65cbbc",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-03-15T13:52:32Z",
    "title_canon_sha256": "2f18300f6edb6b29867b7fcb2fcdbf1eae09a015fd89c1253f5d42b36b74ef26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2909",
    "kind": "arxiv",
    "version": 3
  }
}