Pith Number

pith:46WHDIMX

pith:2014:46WHDIMXUWKU6YZAGB3G4LSR3C

not attested not anchored not stored refs pending

Mixed \L ojasiewicz exponents, log canonical thresholds of ideals and bi-Lipschitz equivalence

Carles Bivi\`a-Ausina, Toshizumi Fukui

arxiv:1405.2110 v1 · 2014-05-08 · math.AG · math.AC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46WHDIMXUWKU6YZAGB3G4LSR3C}

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	2026-05-18T02:52:13.647172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ac71a197a5954f632030766e2e51d89a3d7ee67d299d349486c05f1084a7b6

Aliases

arxiv: 1405.2110 · arxiv_version: 1405.2110v1 · doi: 10.48550/arxiv.1405.2110 · pith_short_12: 46WHDIMXUWKU · pith_short_16: 46WHDIMXUWKU6YZA · pith_short_8: 46WHDIMX

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/46WHDIMXUWKU6YZAGB3G4LSR3C \
  | 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: e7ac71a197a5954f632030766e2e51d89a3d7ee67d299d349486c05f1084a7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c400086791cca4001177759e7c00465608278f738497bc96af69bb84c5891971",
    "cross_cats_sorted": [
      "math.AC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-08T22:11:28Z",
    "title_canon_sha256": "64d499dce7379e5e6a58042ba7904fe0ad1906b45a28c9300c1d52545d4583c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2110",
    "kind": "arxiv",
    "version": 1
  }
}