Pith Number

pith:56DF4CND

pith:2013:56DF4CNDQOTCZ5X37IIYDEBTRS

not attested not anchored not stored refs pending

Weighted multidegrees of polynomial automorphisms over a domain

Shigeru Kuroda

arxiv:1305.0093 v1 · 2013-05-01 · 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{56DF4CNDQOTCZ5X37IIYDEBTRS}

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	2026-05-18T03:26:42.033613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef865e09a383a62cf6fbfa118190338c9455fe18770777a19cb2e9e651c058db

Aliases

arxiv: 1305.0093 · arxiv_version: 1305.0093v1 · doi: 10.48550/arxiv.1305.0093 · pith_short_12: 56DF4CNDQOTC · pith_short_16: 56DF4CNDQOTCZ5X3 · pith_short_8: 56DF4CND

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/56DF4CNDQOTCZ5X37IIYDEBTRS \
  | 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: ef865e09a383a62cf6fbfa118190338c9455fe18770777a19cb2e9e651c058db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169c922b6314c55f9941099b3b0b7c3017c60a5667aea0cda4efc3adc59e55e8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-01T05:52:52Z",
    "title_canon_sha256": "2257146c102b0dabc173247845a73bfa722c79a5e40f2e1727bfd7b6b4e9db4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0093",
    "kind": "arxiv",
    "version": 1
  }
}