Pith Number

pith:4HGJDZDO

pith:2025:4HGJDZDOTZ725JYSCI7Y2PQKW7

not attested not anchored not stored refs pending

Unconditional results for Artin-type problems over number fields

Pietro Sgobba

arxiv:2508.08996 v1 · 2025-08-12 · 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{4HGJDZDOTZ725JYSCI7Y2PQKW7}

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	2026-07-05T11:52:38.142108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cc91e46e9e7faea712123f8d3e0ab7df9dd55ad79b181ae036a0643d726697

Aliases

arxiv: 2508.08996 · arxiv_version: 2508.08996v1 · doi: 10.48550/arxiv.2508.08996 · pith_short_12: 4HGJDZDOTZ72 · pith_short_16: 4HGJDZDOTZ725JYS · pith_short_8: 4HGJDZDO

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/4HGJDZDOTZ725JYSCI7Y2PQKW7 \
  | 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: e1cc91e46e9e7faea712123f8d3e0ab7df9dd55ad79b181ae036a0643d726697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cc8dfbeeff0e057c4eef11bcaf16c8e026a2ee3e6fe4d66d2a2f7a79160d97",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-12T15:03:43Z",
    "title_canon_sha256": "e034fca417b1faf7e234dd4a7299d06acc21bb20367e315e9cf5795f80811583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08996",
    "kind": "arxiv",
    "version": 1
  }
}