Pith Number

pith:W46VJ4O2

pith:2013:W46VJ4O2NLSXXO7VNS22ABHPHK

not attested not anchored not stored refs pending

$3$-class field towers of exact length $3$

Daniel C. Mayer, Michael R. Bush

arxiv:1312.0251 v1 · 2013-12-01 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W46VJ4O2NLSXXO7VNS22ABHPHK}

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	2026-05-18T03:05:46.249751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73d54f1da6ae57bbbf56cb5a004ef3a90bd25d65eedeae307b2bae83e99ef69

Aliases

arxiv: 1312.0251 · arxiv_version: 1312.0251v1 · doi: 10.48550/arxiv.1312.0251 · pith_short_12: W46VJ4O2NLSX · pith_short_16: W46VJ4O2NLSXXO7V · pith_short_8: W46VJ4O2

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/W46VJ4O2NLSXXO7VNS22ABHPHK \
  | 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: b73d54f1da6ae57bbbf56cb5a004ef3a90bd25d65eedeae307b2bae83e99ef69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b4506aa33681e5cc9ab411c6d3e46f0373d5106a0c7a0c18974955acce5b14",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-01T17:25:32Z",
    "title_canon_sha256": "3465409aa76fe30cc033db3c0c115f3d30e2a99849df942ac35b76ccac67ef8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0251",
    "kind": "arxiv",
    "version": 1
  }
}