Pith Number

pith:XG3ZAWV5

pith:2013:XG3ZAWV5Y36T4XOQW4QDIVSDMA

not attested not anchored not stored refs pending

Tannakian duality over Dedekind rings and applications

Nguyen Dai Duong, Ph\`ung H\^o Hai

arxiv:1311.1134 v3 · 2013-11-05 · math.AG · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XG3ZAWV5Y36T4XOQW4QDIVSDMA}

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	2026-05-17T23:45:57.106667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b7905abdc6fd3e5dd0b720345643603a03a3776fdf7e5a20296fe98eba1cb3

Aliases

arxiv: 1311.1134 · arxiv_version: 1311.1134v3 · doi: 10.48550/arxiv.1311.1134 · pith_short_12: XG3ZAWV5Y36T · pith_short_16: XG3ZAWV5Y36T4XOQ · pith_short_8: XG3ZAWV5

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/XG3ZAWV5Y36T4XOQW4QDIVSDMA \
  | 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: b9b7905abdc6fd3e5dd0b720345643603a03a3776fdf7e5a20296fe98eba1cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5450b4d48992d6faa60a58fd3bef0764193f9b0b2edad812d9cf1d7a1cb542",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-05T17:34:35Z",
    "title_canon_sha256": "ae24f054f43e27cc1bea9234f56cfbdaecc84d379ffba5c32899017dda3264e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1134",
    "kind": "arxiv",
    "version": 3
  }
}