Pith Number

pith:GAG4XOEC

pith:2010:GAG4XOECB3FKN6MBL62MA7R3ER

not attested not anchored not stored refs pending

A Less Restrictive Brian\c{c}on-Skoda Theorem with Coefficients

Aline Hosry, Ian M. Aberbach

arxiv:1010.1062 v1 · 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{GAG4XOECB3FKN6MBL62MA7R3ER}

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	2026-05-18T03:12:46.784939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300dcbb8820ecaa6f9815fb4c07e3b246693458806797b43b8c9bc9a336a0592

Aliases

arxiv: 1010.1062 · arxiv_version: 1010.1062v1 · doi: 10.48550/arxiv.1010.1062 · pith_short_12: GAG4XOECB3FK · pith_short_16: GAG4XOECB3FKN6MB · pith_short_8: GAG4XOEC

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/GAG4XOECB3FKN6MBL62MA7R3ER \
  | 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: 300dcbb8820ecaa6f9815fb4c07e3b246693458806797b43b8c9bc9a336a0592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82986dd6b11720051ae4e9c212045ad22c36af4c7174b0dec47af22e450452df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-06T04:49:44Z",
    "title_canon_sha256": "fa915a178ba796abd9712aaa9e45ecac7875d022d8426bd6076e1ed81bfc1f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1062",
    "kind": "arxiv",
    "version": 1
  }
}