Pith Number

pith:AMXD2O7P

pith:2026:AMXD2O7PYUED3ZGQHWSCHYHRU6

not attested not anchored not stored refs pending

A sharp bound for the Frobenius test exponents in generalized Cohen-Macaulay local rings

Duong Thi Huong, Pham Hung Quy

arxiv:2605.29544 v1 · 2026-05-28 · 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{AMXD2O7PYUED3ZGQHWSCHYHRU6}

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	2026-05-29T01:05:46.251425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032e3d3befc5083de4d03da423e0f1a781793c2e26afa0f795a4295e2c94fa30

Aliases

arxiv: 2605.29544 · arxiv_version: 2605.29544v1 · doi: 10.48550/arxiv.2605.29544 · pith_short_12: AMXD2O7PYUED · pith_short_16: AMXD2O7PYUED3ZGQ · pith_short_8: AMXD2O7P

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/AMXD2O7PYUED3ZGQHWSCHYHRU6 \
  | 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: 032e3d3befc5083de4d03da423e0f1a781793c2e26afa0f795a4295e2c94fa30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067fd747856449539e7372cb81fe8638e3fabbfeb977bce042a8b8da09fc1c7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-28T07:56:38Z",
    "title_canon_sha256": "0aa321fd4fdc3d994f8845a9a018df95e1e4c38385a2fada0ba72463225e1f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29544",
    "kind": "arxiv",
    "version": 1
  }
}