Pith Number

pith:KIEBOOFF

pith:2018:KIEBOOFFDYWGRVWQTOZJXSGM5S

not attested not anchored not stored refs pending

Quantum computing with Bianchi groups

Klee Irwin, Marcelo M. Amaral, Michel Planat, Raymond Aschheim

arxiv:1808.06831 v2 · 2018-08-21 · math.GT · math-ph · math.GR · math.MP · math.NT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIEBOOFFDYWGRVWQTOZJXSGM5S}

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	2026-05-17T23:53:29.280740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52081738a51e2c68d6d09bb29bc8ccec9f02d2c2aeb552504198d7e29264ea23

Aliases

arxiv: 1808.06831 · arxiv_version: 1808.06831v2 · doi: 10.48550/arxiv.1808.06831 · pith_short_12: KIEBOOFFDYWG · pith_short_16: KIEBOOFFDYWGRVWQ · pith_short_8: KIEBOOFF

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/KIEBOOFFDYWGRVWQTOZJXSGM5S \
  | 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: 52081738a51e2c68d6d09bb29bc8ccec9f02d2c2aeb552504198d7e29264ea23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1838ac9b01638d5174ada6b6c75fb661d021781a0b5ee55810ae159edcb672",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.NT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-21T10:12:55Z",
    "title_canon_sha256": "ac0a3e6965ad93b7d7ab1f18911a7be61ae09ef0e5440fc94f1f39a358346d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06831",
    "kind": "arxiv",
    "version": 2
  }
}