Pith Number

pith:5HPRGOB7

pith:2018:5HPRGOB7O453PGVWMINX7UAGT4

not attested not anchored not stored refs pending

Multiplicities of jumping points for mixed multiplier ideals

Ferran Dachs-Cadefau, Josep \`Alvarez Montaner, Maria Alberich-Carrami\~nana, V\'ictor Gonz\'alez-Alonso

arxiv:1807.09839 v1 · 2018-07-25 · 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{5HPRGOB7O453PGVWMINX7UAGT4}

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	2026-05-18T00:09:46.441753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9df13383f773bb79ab6621b7fd0069f27cacdc7f14057da77f85e8d900b54d7

Aliases

arxiv: 1807.09839 · arxiv_version: 1807.09839v1 · doi: 10.48550/arxiv.1807.09839 · pith_short_12: 5HPRGOB7O453 · pith_short_16: 5HPRGOB7O453PGVW · pith_short_8: 5HPRGOB7

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/5HPRGOB7O453PGVWMINX7UAGT4 \
  | 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: e9df13383f773bb79ab6621b7fd0069f27cacdc7f14057da77f85e8d900b54d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4407c12ef407d8635b406e081c1bf27c9c55adbcf069bea9e4445da96bfd6930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-25T20:27:42Z",
    "title_canon_sha256": "eb9552a5a2dd5d89670ec3a4e7ca7191cafbf6607660161509b5f843f6da00df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09839",
    "kind": "arxiv",
    "version": 1
  }
}