Pith Number

pith:M2OWRVZS

pith:2009:M2OWRVZSXJZ4V464ND6PDSWRV4

not attested not anchored not stored refs pending

Cosmology: small scale issues revisited

Joel R. Primack

arxiv:0909.2247 v1 · 2009-09-10 · 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{M2OWRVZSXJZ4V464ND6PDSWRV4}

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	2026-05-18T02:11:48.780381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

669d68d732ba73caf3dc68fcf1cad1af08dc2c7b40e99066086002dd097a2461

Aliases

arxiv: 0909.2247 · arxiv_version: 0909.2247v1 · doi: 10.48550/arxiv.0909.2247 · pith_short_12: M2OWRVZSXJZ4 · pith_short_16: M2OWRVZSXJZ4V464 · pith_short_8: M2OWRVZS

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/M2OWRVZSXJZ4V464ND6PDSWRV4 \
  | 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: 669d68d732ba73caf3dc68fcf1cad1af08dc2c7b40e99066086002dd097a2461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2c72810b60f6316f5752c7b62bb635bc4adb8a8682d67ae94d7a9d0a45a39d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-10T16:28:41Z",
    "title_canon_sha256": "bf132f873ba0b90c2ce196b7ae2e1748073a50ca13133b85216fe48f3bca3b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2247",
    "kind": "arxiv",
    "version": 1
  }
}