Pith Number

pith:EKXEJE5Z

pith:2015:EKXEJE5Z3YGBU2K3FUVHAW2VB6

not attested not anchored not stored refs pending

Depth and regularity of powers of sums of ideals

Huy Tai Ha, Ngo Viet Trung, Tran Nam Trung

arxiv:1501.06038 v2 · 2015-01-24 · 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{EKXEJE5Z3YGBU2K3FUVHAW2VB6}

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	2026-05-18T01:23:32.269105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ae4493b9de0c1a695b2d2a705b550f995b9f29b5f95dd9f54eaa653fdb76d9

Aliases

arxiv: 1501.06038 · arxiv_version: 1501.06038v2 · doi: 10.48550/arxiv.1501.06038 · pith_short_12: EKXEJE5Z3YGB · pith_short_16: EKXEJE5Z3YGBU2K3 · pith_short_8: EKXEJE5Z

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/EKXEJE5Z3YGBU2K3FUVHAW2VB6 \
  | 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: 22ae4493b9de0c1a695b2d2a705b550f995b9f29b5f95dd9f54eaa653fdb76d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376c3716f60efa976b5a172855870a5e9342699c2eade0eb9b8b575b15eeb3d1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-24T13:10:44Z",
    "title_canon_sha256": "9496eba4e0a2b2f2a1103099f19434346b969360937a01425d92eff1774cbee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06038",
    "kind": "arxiv",
    "version": 2
  }
}