Pith Number

pith:4VWKEIPA

pith:2009:4VWKEIPAHV6BRHYUXIUVAIMSMK

not attested not anchored not stored refs pending

Clustering in growing neutrino cosmologies

Christof Wetterich, David F. Mota, Georg Robbers, Valeria Pettorino

arxiv:0901.1239 v1 · 2009-01-09 · 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{4VWKEIPAHV6BRHYUXIUVAIMSMK}

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	2026-05-18T02:35:08.289169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56ca221e03d7c189f14ba2950219262a1e3dbc0b788850c549726bbf08d4896

Aliases

arxiv: 0901.1239 · arxiv_version: 0901.1239v1 · doi: 10.48550/arxiv.0901.1239 · pith_short_12: 4VWKEIPAHV6B · pith_short_16: 4VWKEIPAHV6BRHYU · pith_short_8: 4VWKEIPA

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/4VWKEIPAHV6BRHYUXIUVAIMSMK \
  | 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: e56ca221e03d7c189f14ba2950219262a1e3dbc0b788850c549726bbf08d4896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d37163c6e4af9059f28b9360123c097881a5b9f72d08db719abb161558b1e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-01-09T13:22:31Z",
    "title_canon_sha256": "564528b8075bde7be1474efd746e82d39ba8e93b530da3f0e1b4007ce802f3e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1239",
    "kind": "arxiv",
    "version": 1
  }
}