Pith Number

pith:NSBYMYY7

pith:2019:NSBYMYY7REY75MJSIQTR4X3WN4

not attested not anchored not stored refs pending

The $(\alpha, \beta)-$ramification invariants of a number field

Guillermo Mantilla-Soler

arxiv:1906.04254 v1 · 2019-06-10 · 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{NSBYMYY7REY75MJSIQTR4X3WN4}

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	2026-05-17T23:43:39.808083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c8386631f8931feb13244271e5f766f14d8c76e4b8b9ec7d8c157bffc47e3a8

Aliases

arxiv: 1906.04254 · arxiv_version: 1906.04254v1 · doi: 10.48550/arxiv.1906.04254 · pith_short_12: NSBYMYY7REY7 · pith_short_16: NSBYMYY7REY75MJS · pith_short_8: NSBYMYY7

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/NSBYMYY7REY75MJSIQTR4X3WN4 \
  | 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: 6c8386631f8931feb13244271e5f766f14d8c76e4b8b9ec7d8c157bffc47e3a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ef92f2c487f416853f8d03591b554abd874367285e08f24a81f609a972bb1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-10T20:00:58Z",
    "title_canon_sha256": "cdbe5708cf07eb37161de69ff5e487ce1416abce2f7c79e3ee286a672fdbf586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04254",
    "kind": "arxiv",
    "version": 1
  }
}