Pith Number

pith:A3KJOJMC

pith:2011:A3KJOJMC4TTNAP2JRBIA5OCZYL

not attested not anchored not stored refs pending

Density growth in Kantowski-Sachs cosmologies with cosmological constant

Mats Forsberg, Michael Bradley, Peter K. S. Dunsby, Zolt\'an Keresztes

arxiv:1106.4932 v4 · 2011-06-24 · 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{A3KJOJMC4TTNAP2JRBIA5OCZYL}

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	2026-05-18T03:56:45.178569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d4972582e4e6d03f4988500eb859c2f536e4e8cdb2185b7b49205a87a8579d

Aliases

arxiv: 1106.4932 · arxiv_version: 1106.4932v4 · doi: 10.48550/arxiv.1106.4932 · pith_short_12: A3KJOJMC4TTN · pith_short_16: A3KJOJMC4TTNAP2J · pith_short_8: A3KJOJMC

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/A3KJOJMC4TTNAP2JRBIA5OCZYL \
  | 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: 06d4972582e4e6d03f4988500eb859c2f536e4e8cdb2185b7b49205a87a8579d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14db0ce76ab081da3e68a1c932012d0000ef0c6eb527f509c44f26e769bb1cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-24T10:13:18Z",
    "title_canon_sha256": "09b20376955f01477fbc2ef05a175ba1811612d20851394b6b545e9585bf140a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4932",
    "kind": "arxiv",
    "version": 4
  }
}