Pith Number

pith:B5Z26GNM

pith:2024:B5Z26GNMGPSV7H2TI3HMLDLST5

not attested not anchored not stored refs pending

Multidegrees, families, and integral dependence

Bernd Ulrich, Claudia Polini, Yairon Cid-Ruiz

arxiv:2405.07000 v1 · 2024-05-11 · 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{B5Z26GNMGPSV7H2TI3HMLDLST5}

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.

Cited by

1 paper in Pith

Numerical characterizations for integral dependence of graded modules

Receipt and verification

First computed	2026-07-05T08:18:15.029507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f73af19ac33e55f9f5346cec58d729f4ac07abe031f4e7cf469aad8b9332bad

Aliases

arxiv: 2405.07000 · arxiv_version: 2405.07000v1 · doi: 10.48550/arxiv.2405.07000 · pith_short_12: B5Z26GNMGPSV · pith_short_16: B5Z26GNMGPSV7H2T · pith_short_8: B5Z26GNM

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/B5Z26GNMGPSV7H2TI3HMLDLST5 \
  | 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: 0f73af19ac33e55f9f5346cec58d729f4ac07abe031f4e7cf469aad8b9332bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10fc12ff7ee69a2fb7b54f6b0ccf4d235aa95ed6781c17f0215c2f3a4f873cb6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-05-11T12:31:49Z",
    "title_canon_sha256": "1d1cf62b187f799d78c61ab36621c6bae14764323bdf246b72f2accb0d395f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07000",
    "kind": "arxiv",
    "version": 1
  }
}