Pith Number

pith:4WNJGGQ4

pith:2010:4WNJGGQ4I45UZAWZ2S56NWZGX2

not attested not anchored not stored refs pending

Negativity Conjecture for the First Hilbert Coefficient

J. Hong, K. Ozeki, L. Ghezzi, S. Goto, T.T. Phuong, W. V. Vasconcelos

arxiv:1005.0105 v2 · 2010-05-01 · 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{4WNJGGQ4I45UZAWZ2S56NWZGX2}

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	2026-05-18T02:24:09.478096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59a931a1c473b4c82d9d4bbe6db26be9eb5a46cf96ac83552b7e4843c820ade

Aliases

arxiv: 1005.0105 · arxiv_version: 1005.0105v2 · doi: 10.48550/arxiv.1005.0105 · pith_short_12: 4WNJGGQ4I45U · pith_short_16: 4WNJGGQ4I45UZAWZ · pith_short_8: 4WNJGGQ4

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/4WNJGGQ4I45UZAWZ2S56NWZGX2 \
  | 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: e59a931a1c473b4c82d9d4bbe6db26be9eb5a46cf96ac83552b7e4843c820ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf8969ef781845064ebd01a8a6e48d3807aa7c3eac76cfb4f8daef61dc59407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-05-01T20:58:06Z",
    "title_canon_sha256": "7977d46266beaae186a93a50f1d3013f428d1e59386421750e4989c2b160b12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0105",
    "kind": "arxiv",
    "version": 2
  }
}