Pith Number

pith:DK44MGZH

pith:2017:DK44MGZHI4BWXJZLYJIE3MBEK5

not attested not anchored not stored refs pending

The topology on Berkovich affine lines over complete valuation rings

Chi-Keung Ng, Chi-Wai Leung

arxiv:1703.05460 v1 · 2017-03-16 · math.NT · math.AC · 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{DK44MGZHI4BWXJZLYJIE3MBEK5}

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	2026-05-18T00:48:34.231773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab9c61b2747036ba72bc2504db024576417eb28926e9ce3431b993528560c38

Aliases

arxiv: 1703.05460 · arxiv_version: 1703.05460v1 · doi: 10.48550/arxiv.1703.05460 · pith_short_12: DK44MGZHI4BW · pith_short_16: DK44MGZHI4BWXJZL · pith_short_8: DK44MGZH

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/DK44MGZHI4BWXJZLYJIE3MBEK5 \
  | 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: 1ab9c61b2747036ba72bc2504db024576417eb28926e9ce3431b993528560c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035a4d7ad24b05d2cb8ef7ef6d71109e1268d464dbb116ac437dd2382a8e3a19",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-16T02:40:02Z",
    "title_canon_sha256": "898f8d6625b0d8be17afd79de24f9755cdac70af77ceeca364258fafc4df8d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05460",
    "kind": "arxiv",
    "version": 1
  }
}