Pith Number

pith:37GYEQ3K

pith:2001:37GYEQ3KIOYR4LKP4BTR4VK3TS

not attested not anchored not stored refs pending

Octahedral Galois representations arising from Q-curves of degree 2

Anna Rio, Joan-Carles Lario, Julio Fern\'andez-Gonz\'alez

arxiv:math/0106272 v1 · 2001-06-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37GYEQ3KIOYR4LKP4BTR4VK3TS}

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	2026-07-04T14:35:24.877854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfcd82436a43b11e2d4fe0671e555b9ca2e9241d7326d72df60fec7eebfbf408

Aliases

arxiv: math/0106272 · arxiv_version: math/0106272v1 · doi: 10.48550/arxiv.math/0106272 · pith_short_12: 37GYEQ3KIOYR · pith_short_16: 37GYEQ3KIOYR4LKP · pith_short_8: 37GYEQ3K

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/37GYEQ3KIOYR4LKP4BTR4VK3TS \
  | 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: dfcd82436a43b11e2d4fe0671e555b9ca2e9241d7326d72df60fec7eebfbf408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742f545089ec688a6e5101e3361a90627f397a622317644cfafdd3e7f91b23f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-06-18T00:00:00Z",
    "title_canon_sha256": "8bd5236516bdfc37ed6c64fa5fb39c11b1d1878b6ab350ba926462e8e6ff9c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106272",
    "kind": "arxiv",
    "version": 1
  }
}