Pith Number

pith:WLHIO74V

pith:2012:WLHIO74VUDTTV2NA2S567HTANI

not attested not anchored not stored refs pending

Stabilization of monomial maps in higher codimension

Elizabeth Wulcan, Jan-Li Lin

arxiv:1206.4925 v2 · 2012-06-21 · math.DS · 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{WLHIO74VUDTTV2NA2S567HTANI}

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	2026-05-18T03:29:05.270296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ce877f95a0e73ae9a0d4bbef9e606a05305d072a4ca32a8b8d5ce7a159f754

Aliases

arxiv: 1206.4925 · arxiv_version: 1206.4925v2 · doi: 10.48550/arxiv.1206.4925 · pith_short_12: WLHIO74VUDTT · pith_short_16: WLHIO74VUDTTV2NA · pith_short_8: WLHIO74V

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/WLHIO74VUDTTV2NA2S567HTANI \
  | 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: b2ce877f95a0e73ae9a0d4bbef9e606a05305d072a4ca32a8b8d5ce7a159f754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a98cca0721ecde02b28b198dbe9d46af43a1daebf4999c98f4889c73332832",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-21T16:06:42Z",
    "title_canon_sha256": "23daf5383e879fb6ceb37674dfc8fcc3be3b86519d8563dca49a1e824ffbd13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4925",
    "kind": "arxiv",
    "version": 2
  }
}