Pith Number

pith:XMQPKHQL

pith:2012:XMQPKHQLPC6CR6NUO5IV5W5TWI

not attested not anchored not stored refs pending

Cosmic Topology of Prism Double-Action Manifolds

Ralf Aurich, Sven Lustig

arxiv:1205.0660 v2 · 2012-05-03 · 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{XMQPKHQLPC6CR6NUO5IV5W5TWI}

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	2026-05-18T01:57:38.520583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb20f51e0b78bc28f9b477515edbb3b2037e9cf94185d9fea002e19dda4c5834

Aliases

arxiv: 1205.0660 · arxiv_version: 1205.0660v2 · doi: 10.48550/arxiv.1205.0660 · pith_short_12: XMQPKHQLPC6C · pith_short_16: XMQPKHQLPC6CR6NU · pith_short_8: XMQPKHQL

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/XMQPKHQLPC6CR6NUO5IV5W5TWI \
  | 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: bb20f51e0b78bc28f9b477515edbb3b2037e9cf94185d9fea002e19dda4c5834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de04d0f3712ec73095951dc67e79339b54e4dc3d6ab3b5dfc97ad15ef519639d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-03T09:34:55Z",
    "title_canon_sha256": "0084df4c3b310236ac793e1eb34ec09c82aa01b0fa2e212e36bdb0e2e3de00f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0660",
    "kind": "arxiv",
    "version": 2
  }
}