Pith Number

pith:6VZ6HIKJ

pith:2008:6VZ6HIKJWL2GLMEI4KOF5M74U5

not attested not anchored not stored refs pending

An elementary proof of the Briancon-Skoda theorem

Jacob Sznajdman

arxiv:0807.0142 v2 · 2008-07-01 · math.CV · 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{6VZ6HIKJWL2GLMEI4KOF5M74U5}

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	2026-05-18T03:59:26.077698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f573e3a149b2f465b088e29c5eb3fca744dc5306559e0e7d519f50092335e8d9

Aliases

arxiv: 0807.0142 · arxiv_version: 0807.0142v2 · doi: 10.48550/arxiv.0807.0142 · pith_short_12: 6VZ6HIKJWL2G · pith_short_16: 6VZ6HIKJWL2GLMEI · pith_short_8: 6VZ6HIKJ

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/6VZ6HIKJWL2GLMEI4KOF5M74U5 \
  | 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: f573e3a149b2f465b088e29c5eb3fca744dc5306559e0e7d519f50092335e8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27f67f08ca26b0943f624be3f3427449af0991a85ee9ea24cff3e57d7824e76",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-07-01T12:55:44Z",
    "title_canon_sha256": "ebf1a13789ff5cc7612010fc1cebe64ece231407142788c4b92b1625cb81bf4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0142",
    "kind": "arxiv",
    "version": 2
  }
}