Pith Number

pith:33E72C5F

pith:2015:33E72C5FQ4O3GY52M366LI6Y2N

not attested not anchored not stored refs pending

Algebraic Local Cohomology with Parameters and Parametric Standard Bases for Zero-Dimensional Ideals

Katsusuke Nabeshima, Shinichi Tajima

arxiv:1508.06724 v1 · 2015-08-27 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33E72C5FQ4O3GY52M366LI6Y2N}

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	2026-05-18T01:34:41.245952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec9fd0ba5871db363ba66fde5a3d8d3552cfd5a545d60e397da639bf7ef8742

Aliases

arxiv: 1508.06724 · arxiv_version: 1508.06724v1 · doi: 10.48550/arxiv.1508.06724 · pith_short_12: 33E72C5FQ4O3 · pith_short_16: 33E72C5FQ4O3GY52 · pith_short_8: 33E72C5F

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/33E72C5FQ4O3GY52M366LI6Y2N \
  | 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: dec9fd0ba5871db363ba66fde5a3d8d3552cfd5a545d60e397da639bf7ef8742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6985b4e89b833465a6d6c105f1839424f75d73d3c950537e270f9b41c470f973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-08-27T05:31:14Z",
    "title_canon_sha256": "2fbb0955c4168f1a5e5c97c30fcd5510e6f7c31a15d52e717e357dc2cfc1edd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06724",
    "kind": "arxiv",
    "version": 1
  }
}