Pith Number

pith:YHZMXMFE

pith:2018:YHZMXMFED44GWQI5EA3VI44WQB

not attested not anchored not stored refs pending

Super-multiplicativity of ideal norms in number fields

Stefano Marseglia

arxiv:1810.02238 v2 · 2018-10-04 · 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{YHZMXMFED44GWQI5EA3VI44WQB}

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	2026-07-05T03:49:06.503647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f2cbb0a41f386b411d203754739680471efbfe7e218c9927d976c243d8fdbb

Aliases

arxiv: 1810.02238 · arxiv_version: 1810.02238v2 · doi: 10.48550/arxiv.1810.02238 · pith_short_12: YHZMXMFED44G · pith_short_16: YHZMXMFED44GWQI5 · pith_short_8: YHZMXMFE

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/YHZMXMFED44GWQI5EA3VI44WQB \
  | 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: c1f2cbb0a41f386b411d203754739680471efbfe7e218c9927d976c243d8fdbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c17d860bc49a0e785d670b660ef52052d821861f9781ec5093a243192408ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-04T14:23:12Z",
    "title_canon_sha256": "3f4016ad09e233ba0ba2dee3ba6c54fb72c0bc110de97fac578e516576b6c264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02238",
    "kind": "arxiv",
    "version": 2
  }
}