Pith Number

pith:E64KAQX4

pith:2012:E64KAQX4YHNJIAZOG4T3UAPA3G

not attested not anchored not stored refs pending

Cosmic Topology of Polyhedral Double-Action Manifolds

Ralf Aurich, Sven Lustig

arxiv:1207.4378 v2 · 2012-07-18 · 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{E64KAQX4YHNJIAZOG4T3UAPA3G}

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	2026-05-18T01:56:16.841894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b8a042fcc1da94032e3727ba01e0d9941c9305a90d5856c887a929a810b7e2

Aliases

arxiv: 1207.4378 · arxiv_version: 1207.4378v2 · doi: 10.48550/arxiv.1207.4378 · pith_short_12: E64KAQX4YHNJ · pith_short_16: E64KAQX4YHNJIAZO · pith_short_8: E64KAQX4

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/E64KAQX4YHNJIAZOG4T3UAPA3G \
  | 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: 27b8a042fcc1da94032e3727ba01e0d9941c9305a90d5856c887a929a810b7e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8775c53f942c3857d702ad80b3d71043d61c8b5ed58a5937e542a281464d4df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-18T13:58:03Z",
    "title_canon_sha256": "dfbc848f99a16b833c51a0a2ae498da94812898b78891d0db9cdbf44c7af38ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4378",
    "kind": "arxiv",
    "version": 2
  }
}