Pith Number

pith:3S6C6TY3

pith:2017:3S6C6TY3EHZ5UJE7PIRIWAI4CP

not attested not anchored not stored refs pending

A model theoretic Rieffel's theorem of quantum 2-torus

Boris Zilber, Masanori Itai

arxiv:1708.02615 v1 · 2017-08-08 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3S6C6TY3EHZ5UJE7PIRIWAI4CP}

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	2026-05-18T00:38:20.208774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbc2f4f1b21f3da249f7a228b011c13e10748694644c948edcc09d972998cb3

Aliases

arxiv: 1708.02615 · arxiv_version: 1708.02615v1 · doi: 10.48550/arxiv.1708.02615 · pith_short_12: 3S6C6TY3EHZ5 · pith_short_16: 3S6C6TY3EHZ5UJE7 · pith_short_8: 3S6C6TY3

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/3S6C6TY3EHZ5UJE7PIRIWAI4CP \
  | 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: dcbc2f4f1b21f3da249f7a228b011c13e10748694644c948edcc09d972998cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "828b4d4a65c033efa19ee5f6d2471ef340e51d98d49024f5c24b204d1bd3abea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-08T19:23:44Z",
    "title_canon_sha256": "ad2bfa1a9998c249092165861ac3084986c3ba7306a5b5027a0db732c31de332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02615",
    "kind": "arxiv",
    "version": 1
  }
}