Pith Number

pith:VEYS3VNB

pith:2012:VEYS3VNB6XDKO74JK7XGPEJN33

not attested not anchored not stored refs pending

Galois Module Structure of \Z/\ell^n-th Classes of Fields

Adam Topaz, Jan Minac, John Swallow

arxiv:1204.6611 v4 · 2012-04-30 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEYS3VNB6XDKO74JK7XGPEJN33}

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	2026-05-18T02:23:35.825327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9312dd5a1f5c6a77f8957ee67912ddedebdd73d09d86d6f201872230c1c051e

Aliases

arxiv: 1204.6611 · arxiv_version: 1204.6611v4 · doi: 10.48550/arxiv.1204.6611 · pith_short_12: VEYS3VNB6XDK · pith_short_16: VEYS3VNB6XDKO74J · pith_short_8: VEYS3VNB

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/VEYS3VNB6XDKO74JK7XGPEJN33 \
  | 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: a9312dd5a1f5c6a77f8957ee67912ddedebdd73d09d86d6f201872230c1c051e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10d9a7b3ac868dd466e6f7ca81c21f523edd4adc94702a458350a4af96c2dd8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-30T12:26:13Z",
    "title_canon_sha256": "a4232a96b2870e9ac592829ae8ae43e88e5c1e9066abe28552fb0e1522ba2285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6611",
    "kind": "arxiv",
    "version": 4
  }
}