Pith Number

pith:UNJSYT7I

pith:2013:UNJSYT7I23ORRESBPWE5RXN4M4

not attested not anchored not stored refs pending

The shape of $\mathbb{Z}/\ell\mathbb{Z}$-number fields

Guillermo Mantilla-Soler, Marina Monsurr\`o

arxiv:1311.0387 v2 · 2013-11-02 · 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{UNJSYT7I23ORRESBPWE5RXN4M4}

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	2026-05-18T01:29:59.670358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3532c4fe8d6dd1892417d89d8ddbc672739f01a2202c06c15372bfff0cb04b0

Aliases

arxiv: 1311.0387 · arxiv_version: 1311.0387v2 · doi: 10.48550/arxiv.1311.0387 · pith_short_12: UNJSYT7I23OR · pith_short_16: UNJSYT7I23ORRESB · pith_short_8: UNJSYT7I

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/UNJSYT7I23ORRESBPWE5RXN4M4 \
  | 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: a3532c4fe8d6dd1892417d89d8ddbc672739f01a2202c06c15372bfff0cb04b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acb1d39520193afbfb2f0350565e46c64749bc6b4da40edd2a4bc18794c0437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-02T16:21:07Z",
    "title_canon_sha256": "416c4536830fd0302443af1dcc458e92a3b7f4b89d85d770bfcb1dc271813dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0387",
    "kind": "arxiv",
    "version": 2
  }
}