Pith Number

pith:PNEWFEE6

pith:2011:PNEWFEE6ZO3EZVGRLP5ODGZHWI

not attested not anchored not stored refs pending

Solvable Number Field Extensions of Bounded Root Discriminant

Jonah Leshin

arxiv:1111.5651 v4 · 2011-11-23 · 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{PNEWFEE6ZO3EZVGRLP5ODGZHWI}

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	2026-05-18T03:41:20.330242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4962909ecbb64cd4d15bfae19b27b235751788e1d98ba6612e620d57a39f13

Aliases

arxiv: 1111.5651 · arxiv_version: 1111.5651v4 · doi: 10.48550/arxiv.1111.5651 · pith_short_12: PNEWFEE6ZO3E · pith_short_16: PNEWFEE6ZO3EZVGR · pith_short_8: PNEWFEE6

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/PNEWFEE6ZO3EZVGRLP5ODGZHWI \
  | 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: 7b4962909ecbb64cd4d15bfae19b27b235751788e1d98ba6612e620d57a39f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad45873156425d547a1f7754e124a90ed24dc87ea220bca9d516c9a1b23a06b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-23T23:45:41Z",
    "title_canon_sha256": "46e0fe92d00e75dd0e874e4bb307ec201dd66eff3bf6b129279a83cb8be594c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5651",
    "kind": "arxiv",
    "version": 4
  }
}