Pith Number

pith:UKFM2X4U

pith:2010:UKFM2X4UFMSFZG4RH4A4DB4J5S

not attested not anchored not stored refs pending

Conditions for spontaneous homogenization of the Universe

Krzysztof Bolejko, William R. Stoeger

arxiv:1005.3009 v1 · 2010-05-17 · gr-qc · 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{UKFM2X4UFMSFZG4RH4A4DB4J5S}

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	2026-05-18T04:27:28.149689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28acd5f942b245c9b913f01c18789ec9942041f887ef35ed7e6961fd9261012

Aliases

arxiv: 1005.3009 · arxiv_version: 1005.3009v1 · doi: 10.48550/arxiv.1005.3009 · pith_short_12: UKFM2X4UFMSF · pith_short_16: UKFM2X4UFMSFZG4R · pith_short_8: UKFM2X4U

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/UKFM2X4UFMSFZG4RH4A4DB4J5S \
  | 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: a28acd5f942b245c9b913f01c18789ec9942041f887ef35ed7e6961fd9261012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd52b7324d8135f82ed58f3b02f70a456c851a8999f604fa46f02d5c9eb470f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-17T19:48:48Z",
    "title_canon_sha256": "9ccf58a6b01c96533035a0f4d34403c0cb36a0d4ba33b6b7f869e9af50d8641e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3009",
    "kind": "arxiv",
    "version": 1
  }
}