Pith Number

pith:VT34R5SZ

pith:2019:VT34R5SZPWEOTPKJHLYK3WFOA6

not attested not anchored not stored refs pending

Burch ideals and Burch rings

Hailong Dao, Ryo Takahashi, Toshinori Kobayashi

arxiv:1905.02310 v3 · 2019-05-07 · math.AC · 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{VT34R5SZPWEOTPKJHLYK3WFOA6}

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	2026-05-17T23:43:27.627036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf7c8f6597d88e9bd493af0add8ae07aa1bf8a53e6c5985103911bb204f9c6c

Aliases

arxiv: 1905.02310 · arxiv_version: 1905.02310v3 · doi: 10.48550/arxiv.1905.02310 · pith_short_12: VT34R5SZPWEO · pith_short_16: VT34R5SZPWEOTPKJ · pith_short_8: VT34R5SZ

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/VT34R5SZPWEOTPKJHLYK3WFOA6 \
  | 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: acf7c8f6597d88e9bd493af0add8ae07aa1bf8a53e6c5985103911bb204f9c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51cd1345695436620563520a60c638008e0694135bf987c181a7984fbabd2438",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-07T01:08:53Z",
    "title_canon_sha256": "3a42a4afcd15cdefb115e81bb0e8bea69d5ef99faa1f80d774b84d6ff4e20edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02310",
    "kind": "arxiv",
    "version": 3
  }
}