Pith Number

pith:5HXJWFVP

pith:2018:5HXJWFVPSE2LYM3JEH4YUOSUNC

not attested not anchored not stored refs pending

The integral trace form as a complete invariant for real $S_n$ number fields

Carlos Rivera, Guillermo Mantilla-Soler

arxiv:1812.03133 v6 · 2018-12-07 · 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{5HXJWFVPSE2LYM3JEH4YUOSUNC}

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.

Cited by

1 paper in Pith

An introduction to $\Gamma$-number fields

Receipt and verification

First computed	2026-07-05T04:14:21.702864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ee9b16af9134bc336921f98a3a546896bc95ba0a80489713d02223881335ed

Aliases

arxiv: 1812.03133 · arxiv_version: 1812.03133v6 · doi: 10.48550/arxiv.1812.03133 · pith_short_12: 5HXJWFVPSE2L · pith_short_16: 5HXJWFVPSE2LYM3J · pith_short_8: 5HXJWFVP

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/5HXJWFVPSE2LYM3JEH4YUOSUNC \
  | 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: e9ee9b16af9134bc336921f98a3a546896bc95ba0a80489713d02223881335ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8124666d411eaa83e5847cefa99a68b40e613d8d00cb4fa181f38aeac173387b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-07T17:48:08Z",
    "title_canon_sha256": "cf9e88652e220a2bf87f4fe8acd30dd9ee5ef1da7c9613894b5841592f36c7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03133",
    "kind": "arxiv",
    "version": 6
  }
}