Pith Number

pith:QWOMOK5D

pith:2017:QWOMOK5DKFNOULQFN4MYCZVR7Y

not attested not anchored not stored refs pending

Class field theory for open curves over local fields, II

Toshiro Hiranouchi

arxiv:1712.09194 v2 · 2017-12-26 · 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{QWOMOK5DKFNOULQFN4MYCZVR7Y}

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	2026-05-18T00:20:55.803429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061

Aliases

arxiv: 1712.09194 · arxiv_version: 1712.09194v2 · doi: 10.48550/arxiv.1712.09194 · pith_short_12: QWOMOK5DKFNO · pith_short_16: QWOMOK5DKFNOULQF · pith_short_8: QWOMOK5D

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/QWOMOK5DKFNOULQFN4MYCZVR7Y \
  | 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: 859cc72ba3515aea2e056f198166b1fe28666497347a07cfb1513df9b7cbd061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5450043f3f0dfc0ba8346163c7b01e311f8832ffe8e1f6bc35cfa14c65b880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-26T07:15:49Z",
    "title_canon_sha256": "eb7fdf72029e429c6be22d271edc1ffb3f288c43db384c4142206ab29dd5ead8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09194",
    "kind": "arxiv",
    "version": 2
  }
}