Pith Number

pith:26ETNWIA

pith:2015:26ETNWIA2BUAUYYR4YYDHXCAFU

not attested not anchored not stored refs pending

On Cohen-Macaulayness and depth of ideals in invariant rings

Martin Kohls, M\"ufit Sezer

arxiv:1501.03126 v1 · 2015-01-13 · 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{26ETNWIA2BUAUYYR4YYDHXCAFU}

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	2026-05-18T01:23:16.687140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78936d900d0680a6311e63033dc402d009682c61e66762377781bd868156c49

Aliases

arxiv: 1501.03126 · arxiv_version: 1501.03126v1 · doi: 10.48550/arxiv.1501.03126 · pith_short_12: 26ETNWIA2BUA · pith_short_16: 26ETNWIA2BUAUYYR · pith_short_8: 26ETNWIA

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/26ETNWIA2BUAUYYR4YYDHXCAFU \
  | 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: d78936d900d0680a6311e63033dc402d009682c61e66762377781bd868156c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89eeb7a668a0bc91b2b5d357230f71148383c62a296d5e63ddc67d79e5c93a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-13T19:38:12Z",
    "title_canon_sha256": "99911ab2e7b5c1c1a3d1e882d6f9a1aa053c270bd2d0d3202c6ca0660de69387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03126",
    "kind": "arxiv",
    "version": 1
  }
}