Pith Number

pith:K4OEMD2I

pith:2004:K4OEMD2IPBLRYQEXR47MSOJCQZ

not attested not anchored not stored refs pending

Cyclic algebras, Schur indices, norms, and Galois modules

Andrew Schultz, Jan Minac, John Swallow

arxiv:math/0410536 v2 · 2004-10-25 · 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{K4OEMD2IPBLRYQEXR47MSOJCQZ}

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	2026-05-18T04:21:00.923537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571c460f4878571c40978f3ec93922864173af7fafd9f5d92b1207a612e94bc9

Aliases

arxiv: math/0410536 · arxiv_version: math/0410536v2 · doi: 10.48550/arxiv.math/0410536 · pith_short_12: K4OEMD2IPBLR · pith_short_16: K4OEMD2IPBLRYQEX · pith_short_8: K4OEMD2I

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/K4OEMD2IPBLRYQEXR47MSOJCQZ \
  | 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: 571c460f4878571c40978f3ec93922864173af7fafd9f5d92b1207a612e94bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e472eb8443d4efe528e664ed41b8c73cf6225f707c5b0ff123fdc3db0b312a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2004-10-25T18:46:15Z",
    "title_canon_sha256": "16331b461bbfc059da96ee216bf78e8554f1d845b5b5b4d7a349047c94925544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410536",
    "kind": "arxiv",
    "version": 2
  }
}