Pith Number

pith:EA72GMGW

pith:2019:EA72GMGWDGYX257B2VEF6YYDQB

not attested not anchored not stored refs pending

Versality, bounds of global Tjurina numbers and logarithmic vector fields along hypersurfaces with isolated singularities

Alexandru Dimca

arxiv:1904.00686 v1 · 2019-04-01 · 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{EA72GMGWDGYX257B2VEF6YYDQB}

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	2026-05-17T23:49:45.787709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203fa330d619b17d77e1d5485f630380689a06fc6ab7efbbcb70b6d331bbf570

Aliases

arxiv: 1904.00686 · arxiv_version: 1904.00686v1 · doi: 10.48550/arxiv.1904.00686 · pith_short_12: EA72GMGWDGYX · pith_short_16: EA72GMGWDGYX257B · pith_short_8: EA72GMGW

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/EA72GMGWDGYX257B2VEF6YYDQB \
  | 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: 203fa330d619b17d77e1d5485f630380689a06fc6ab7efbbcb70b6d331bbf570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a288f268b3d81e7fd9376410c697ce5f001f08c602f4092a552452fd375e84ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-01T10:20:52Z",
    "title_canon_sha256": "6283da7fbc9b214b2ae368f415738d198d4073672cf99c913f22ae10114ab131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00686",
    "kind": "arxiv",
    "version": 1
  }
}