Pith Number

pith:INRN46D2

pith:2009:INRN46D2O2VAVTK4USQOVFKOKE

not attested not anchored not stored refs pending

Bubble, Bubble, Flow and Hubble: Large Scale Galaxy Flow from Cosmological Bubble Collisions

Klaus Larjo, Thomas S. Levi

arxiv:0910.4159 v2 · 2009-10-21 · hep-th · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INRN46D2O2VAVTK4USQOVFKOKE}

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	2026-05-18T02:34:13.205932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4362de787a76aa0acd5ca4a0ea954e512ae5567564095bc31b1b7fc2f59b42d6

Aliases

arxiv: 0910.4159 · arxiv_version: 0910.4159v2 · doi: 10.48550/arxiv.0910.4159 · pith_short_12: INRN46D2O2VA · pith_short_16: INRN46D2O2VAVTK4 · pith_short_8: INRN46D2

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/INRN46D2O2VAVTK4USQOVFKOKE \
  | 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: 4362de787a76aa0acd5ca4a0ea954e512ae5567564095bc31b1b7fc2f59b42d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e83ba75c943b8e83ab3bcff0049de15ed59800bf22663871ec6b7d84b9cd813",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-21T20:02:15Z",
    "title_canon_sha256": "75631b00e173d6b1f4a20d21253bc4dd34d18f7d7d4e7346386b8e11b1e82973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4159",
    "kind": "arxiv",
    "version": 2
  }
}