Pith Number

pith:42YPRZWY

pith:2012:42YPRZWYBLMHEBXAFDI7FDCC2P

not attested not anchored not stored refs pending

On Degree Growth and Stabilization of Three Dimensional Monomial Maps

Jan-Li Lin

arxiv:1204.6258 v1 · 2012-04-27 · 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{42YPRZWYBLMHEBXAFDI7FDCC2P}

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	2026-05-18T03:56:46.599975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755

Aliases

arxiv: 1204.6258 · arxiv_version: 1204.6258v1 · doi: 10.48550/arxiv.1204.6258 · pith_short_12: 42YPRZWYBLMH · pith_short_16: 42YPRZWYBLMHEBXA · pith_short_8: 42YPRZWY

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/42YPRZWYBLMHEBXAFDI7FDCC2P \
  | 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: e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ba9b703b20a98ba7039d2a793cebcf188e37688af9f64d81df08d59f192bef",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-27T15:50:50Z",
    "title_canon_sha256": "57d18844a6ad1f40cf8ae32a9774ebdb3cfcd4127ad96b3cab2b7f565f23d176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6258",
    "kind": "arxiv",
    "version": 1
  }
}