Pith Number

pith:AWEBGXLY

pith:2013:AWEBGXLY7M4VFMYJEIUOAC27Y5

not attested not anchored not stored refs pending

On the Kara\'s type theorems for the multidegrees of polynomial automorphisms

Shigeru Kuroda

arxiv:1303.3703 v1 · 2013-03-15 · 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{AWEBGXLY7M4VFMYJEIUOAC27Y5}

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	2026-05-18T03:30:52.652831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0588135d78fb3952b3092228e00b5fc755ab643d8b8dcb47d791ba0dadd59370

Aliases

arxiv: 1303.3703 · arxiv_version: 1303.3703v1 · doi: 10.48550/arxiv.1303.3703 · pith_short_12: AWEBGXLY7M4V · pith_short_16: AWEBGXLY7M4VFMYJ · pith_short_8: AWEBGXLY

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/AWEBGXLY7M4VFMYJEIUOAC27Y5 \
  | 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: 0588135d78fb3952b3092228e00b5fc755ab643d8b8dcb47d791ba0dadd59370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efafee6e8a0cb7ac29a92a0564a1cec2f659b5752236badf9143ce2aeddd81fd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-15T08:19:33Z",
    "title_canon_sha256": "991697d24d25517df3a9796b21ddd1eab12f1e4a755f27a24ec4da8db41576ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3703",
    "kind": "arxiv",
    "version": 1
  }
}