Pith Number

pith:IDQLGVYS

pith:2011:IDQLGVYSZ36I3AWNPZ5NKBBYNN

not attested not anchored not stored refs pending

An ultrametric space of Eisenstein polynomials and ramification theory

Manabu Yoshida

arxiv:1105.5221 v2 · 2011-05-26 · 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{IDQLGVYSZ36I3AWNPZ5NKBBYNN}

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	2026-05-18T04:14:07.617007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e0b35712cefc8d82cd7e7ad504386b4f8120b01a98085a734bc5930794e37e

Aliases

arxiv: 1105.5221 · arxiv_version: 1105.5221v2 · doi: 10.48550/arxiv.1105.5221 · pith_short_12: IDQLGVYSZ36I · pith_short_16: IDQLGVYSZ36I3AWN · pith_short_8: IDQLGVYS

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/IDQLGVYSZ36I3AWNPZ5NKBBYNN \
  | 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: 40e0b35712cefc8d82cd7e7ad504386b4f8120b01a98085a734bc5930794e37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ecf0bf0ac150a7d369305bf9008e5037af905264e7acf8b896c82034d4ff63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-26T07:50:31Z",
    "title_canon_sha256": "7839750d8110c7069ddaaea7da48f55a4dde520aa5eb7db14aa085c1e2a12a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5221",
    "kind": "arxiv",
    "version": 2
  }
}