Pith Number

pith:RY3UXWYT

pith:2015:RY3UXWYTN5BUNTDKFZXD7BSWAV

not attested not anchored not stored refs pending

Quandles associated to Galois covers of arithmetic schemes

Nobuyoshi Takahashi

arxiv:1508.03937 v2 · 2015-08-17 · math.NT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY3UXWYTN5BUNTDKFZXD7BSWAV}

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	2026-05-18T00:29:52.306981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e374bdb136f4346cc6a2e6e3f8656057740531fcad1559365655eb2ea0efc4a

Aliases

arxiv: 1508.03937 · arxiv_version: 1508.03937v2 · doi: 10.48550/arxiv.1508.03937 · pith_short_12: RY3UXWYTN5BU · pith_short_16: RY3UXWYTN5BUNTDK · pith_short_8: RY3UXWYT

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/RY3UXWYTN5BUNTDKFZXD7BSWAV \
  | 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: 8e374bdb136f4346cc6a2e6e3f8656057740531fcad1559365655eb2ea0efc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178a4a7940dd9c7ab2d2322f0e268f7b8914c3d4f04e7902e330206a9d77af56",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-17T06:56:44Z",
    "title_canon_sha256": "ee8f283afb17e605d3c96000873b0cd74e5fb3f03707b3cf681c65b50574bf93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03937",
    "kind": "arxiv",
    "version": 2
  }
}