Pith Number

pith:2X6NA3VC

pith:2016:2X6NA3VCKKMA64QN6G3YVXYSVV

not attested not anchored not stored refs pending

Fundamental groups and good reduction criteria for curves over positive characteristic local fields

Christopher Lazda

arxiv:1604.06024 v2 · 2016-04-20 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2X6NA3VCKKMA64QN6G3YVXYSVV}

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	2026-05-18T00:42:23.956774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5fcd06ea252980f720df1b78adf12ad588eb1c00f4e0e63c71554b222123523

Aliases

arxiv: 1604.06024 · arxiv_version: 1604.06024v2 · doi: 10.48550/arxiv.1604.06024 · pith_short_12: 2X6NA3VCKKMA · pith_short_16: 2X6NA3VCKKMA64QN · pith_short_8: 2X6NA3VC

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/2X6NA3VCKKMA64QN6G3YVXYSVV \
  | 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: d5fcd06ea252980f720df1b78adf12ad588eb1c00f4e0e63c71554b222123523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4070c1a2e268369b9c84329f43fae1199a9cc155e361de61114154add10978f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-20T16:29:12Z",
    "title_canon_sha256": "f7a21a16043eb277f6fdf43d583728d1e3086a991e4157eca0bbd03ce89fb4b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06024",
    "kind": "arxiv",
    "version": 2
  }
}