Pith Number

pith:VSS7I6BG

pith:2011:VSS7I6BGAUULZLUMX2MRBTNKTY

not attested not anchored not stored refs pending

On the possibility for constraining cosmic topology from the celestial distribution of astronomical objects

Hirokazu Fujii, Yuzuru Yoshii

arxiv:1105.2337 v2 · 2011-05-11 · 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{VSS7I6BGAUULZLUMX2MRBTNKTY}

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	2026-05-18T02:01:59.373414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca5f478260528bcae8cbe9910cdaa9e3ed3fb7062890e63296009b04c25da2e

Aliases

arxiv: 1105.2337 · arxiv_version: 1105.2337v2 · doi: 10.48550/arxiv.1105.2337 · pith_short_12: VSS7I6BGAUUL · pith_short_16: VSS7I6BGAUULZLUM · pith_short_8: VSS7I6BG

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/VSS7I6BGAUULZLUMX2MRBTNKTY \
  | 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: aca5f478260528bcae8cbe9910cdaa9e3ed3fb7062890e63296009b04c25da2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a765d5e5828f9aa0c768bebbcb42debfaae924362d851174b5166174fa354f56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-11T23:22:53Z",
    "title_canon_sha256": "754106f39b3660fded055f145569871f361569ffa76f99dbee2494a5236da7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2337",
    "kind": "arxiv",
    "version": 2
  }
}