Pith Number

pith:4WXBX2SG

pith:2013:4WXBX2SGEE3RWNHWHIEL3LWBSH

not attested not anchored not stored refs pending

Hilbert Series of Residual Intersections

Bernd Ulrich, David Eisenbud, Marc Chardin

arxiv:1304.0044 v1 · 2013-03-29 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WXBX2SGEE3RWNHWHIEL3LWBSH}

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	2026-05-18T01:31:46.858235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ae1bea4621371b34f63a08bdaec191fe1c3030d9a261657f9319e7490f981e

Aliases

arxiv: 1304.0044 · arxiv_version: 1304.0044v1 · doi: 10.48550/arxiv.1304.0044 · pith_short_12: 4WXBX2SGEE3R · pith_short_16: 4WXBX2SGEE3RWNHW · pith_short_8: 4WXBX2SG

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/4WXBX2SGEE3RWNHWHIEL3LWBSH \
  | 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: e5ae1bea4621371b34f63a08bdaec191fe1c3030d9a261657f9319e7490f981e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8fddfe00866a9a29bd962a6d7648397342548e17b938067e6e9344643851b5f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-29T23:19:08Z",
    "title_canon_sha256": "14e4cead4d6df0ac3a7c0d4258e0e6274f5c0ff3b7bcc16fcd73e518195a7a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0044",
    "kind": "arxiv",
    "version": 1
  }
}