Pith Number

pith:J54X4JTF

pith:2015:J54X4JTFAXUXVN6DP2GZEE3VTS

not attested not anchored not stored refs pending

Ulrich ideals and almost Gorenstein rings

Naoki Taniguchi, Ryo Takahashi, Shiro Goto

arxiv:1507.04556 v2 · 2015-07-16 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J54X4JTFAXUXVN6DP2GZEE3VTS}

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	2026-05-18T01:14:53.072910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f797e266505e97ab7c37e8d9213759caed734e6042038dcee44f5705f47527d

Aliases

arxiv: 1507.04556 · arxiv_version: 1507.04556v2 · doi: 10.48550/arxiv.1507.04556 · pith_short_12: J54X4JTFAXUX · pith_short_16: J54X4JTFAXUXVN6D · pith_short_8: J54X4JTF

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/J54X4JTFAXUXVN6DP2GZEE3VTS \
  | 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: 4f797e266505e97ab7c37e8d9213759caed734e6042038dcee44f5705f47527d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d3ffb7ed8e131d07041942dc94e25d21b5df7a80c6a34c23d4006e4a288265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-16T13:05:38Z",
    "title_canon_sha256": "dcfea1d888ad151bf0d7b0c3c9dbd29b31eba58e165af640c25b0b04f0694454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04556",
    "kind": "arxiv",
    "version": 2
  }
}