Pith Number

pith:RMGHI5U7

pith:2016:RMGHI5U7HTALQZRAYQX3XQYBJG

not attested not anchored not stored refs pending

Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities

Ferran Dachs-Cadefau, Josep Alvarez Montaner, Maria Alberich-Carrami\~nana

arxiv:1605.01359 v1 · 2016-05-04 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMGHI5U7HTALQZRAYQX3XQYBJG}

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	2026-05-18T01:15:36.999593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b0c74769f3cc0b86620c42fbbc30149807431bb48ff10417ac5509d9ac73589

Aliases

arxiv: 1605.01359 · arxiv_version: 1605.01359v1 · doi: 10.48550/arxiv.1605.01359 · pith_short_12: RMGHI5U7HTAL · pith_short_16: RMGHI5U7HTALQZRA · pith_short_8: RMGHI5U7

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/RMGHI5U7HTALQZRAYQX3XQYBJG \
  | 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: 8b0c74769f3cc0b86620c42fbbc30149807431bb48ff10417ac5509d9ac73589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce05f7326ac82a7c562c6bdddf2cbca4aff6944a29d003834ee0d0c0948fed8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-04T17:27:06Z",
    "title_canon_sha256": "65df4f8eb700854eec051bbdfe5c236085b43d285c3fe0d769ecef8816dd616f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01359",
    "kind": "arxiv",
    "version": 1
  }
}