Pith Number

pith:7TRPTX2I

pith:2010:7TRPTX2ISGOCHDKGLEEA7NX72X

not attested not anchored not stored refs pending

The Brian\c{c}on-Skoda Theorem and Coefficient Ideals for Non m-Primary Ideals

Aline Hosry, Ian M. Aberbach

arxiv:1010.1061 v2 · 2010-10-06 · 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{7TRPTX2ISGOCHDKGLEEA7NX72X}

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	2026-05-18T03:12:46.795874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce2f9df48919c238d4659080fb6ffd5df0ba2cfa58fab404c7b0d2e8b13742a

Aliases

arxiv: 1010.1061 · arxiv_version: 1010.1061v2 · doi: 10.48550/arxiv.1010.1061 · pith_short_12: 7TRPTX2ISGOC · pith_short_16: 7TRPTX2ISGOCHDKG · pith_short_8: 7TRPTX2I

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/7TRPTX2ISGOCHDKGLEEA7NX72X \
  | 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: fce2f9df48919c238d4659080fb6ffd5df0ba2cfa58fab404c7b0d2e8b13742a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ffea49f8ca050b9d6361151ef2cbb63f94ee67aa0dc9c759536959e3213923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-06T04:48:13Z",
    "title_canon_sha256": "ed340daff28b80ad4e18361c3664701d6e08c2db389548b7e856d83931334a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1061",
    "kind": "arxiv",
    "version": 2
  }
}