Pith Number

pith:VNXZSIMS

pith:2011:VNXZSIMSI5N7LQ7FQ6NMNYB6L4

not attested not anchored not stored refs pending

A model independent measure of the large scale curvature of the Universe

Edvard Mortsell, Jakob Jonsson

arxiv:1102.4485 v1 · 2011-02-22 · 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{VNXZSIMSI5N7LQ7FQ6NMNYB6L4}

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	2026-05-18T04:28:08.816889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6f992192475bf5c3e5879ac6e03e5f056d5158d74fde5ae7c8a4679c175f90

Aliases

arxiv: 1102.4485 · arxiv_version: 1102.4485v1 · doi: 10.48550/arxiv.1102.4485 · pith_short_12: VNXZSIMSI5N7 · pith_short_16: VNXZSIMSI5N7LQ7F · pith_short_8: VNXZSIMS

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/VNXZSIMSI5N7LQ7FQ6NMNYB6L4 \
  | 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: ab6f992192475bf5c3e5879ac6e03e5f056d5158d74fde5ae7c8a4679c175f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa53cbe55b93f6429df99deac06eaff05efb7f49f7cb5a0712519705cc95d82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-22T12:34:18Z",
    "title_canon_sha256": "ddc2b9c7e4ef4e05ec9acba894a70548071c45a74eba91ed808e8f1e4e93b53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4485",
    "kind": "arxiv",
    "version": 1
  }
}