Pith Number

pith:E5NYWU3H

pith:1997:E5NYWU3HBMCNYZFHO2G4JU2MOK

not attested not anchored not stored refs pending

Explicit Hopf-Galois description of $SL_{e^{2i\pi/3}}$-induced Frobenius homomorphisms

L. Dabrowski, P. M. Hajac, P. Siniscalco

arxiv:q-alg/9708031 v2 · 1997-08-29 · q-alg · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5NYWU3HBMCNYZFHO2G4JU2MOK}

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	2026-05-18T03:57:37.575734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275b8b53670b04dc64a7768dc4d34c729511ba3bb4bf3037564bc197e7ee03b6

Aliases

arxiv: q-alg/9708031 · arxiv_version: q-alg/9708031v2 · doi: 10.48550/arxiv.q-alg/9708031 · pith_short_12: E5NYWU3HBMCN · pith_short_16: E5NYWU3HBMCNYZFH · pith_short_8: E5NYWU3H

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/E5NYWU3HBMCNYZFHO2G4JU2MOK \
  | 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: 275b8b53670b04dc64a7768dc4d34c729511ba3bb4bf3037564bc197e7ee03b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b328f07113b987d207006b410c2d160a742ca5e54a6029cd1c111c00d5087ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-08-29T23:02:38Z",
    "title_canon_sha256": "7623bddd0acb2b2fd90fcf1e95d71aa864c4fd6856037b9f343c52bd67782387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9708031",
    "kind": "arxiv",
    "version": 2
  }
}