Pith Number

pith:REEIY3B4

pith:2018:REEIY3B4C6WS7Q5UJV5JV3CNJ2

not attested not anchored not stored refs pending

Reflexive modules on normal Gorenstein Stein surfaces, their deformations and moduli

Agustin Romano Velazquez, Javier Fernandez de Bobadilla

arxiv:1812.06543 v2 · 2018-12-16 · math.AG · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REEIY3B4C6WS7Q5UJV5JV3CNJ2}

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	2026-05-17T23:49:27.264639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89088c6c3c17ad2fc3b44d7a9aec4d4eb277fa112387bad76c0ba962fcd4af54

Aliases

arxiv: 1812.06543 · arxiv_version: 1812.06543v2 · doi: 10.48550/arxiv.1812.06543 · pith_short_12: REEIY3B4C6WS · pith_short_16: REEIY3B4C6WS7Q5U · pith_short_8: REEIY3B4

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/REEIY3B4C6WS7Q5UJV5JV3CNJ2 \
  | 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: 89088c6c3c17ad2fc3b44d7a9aec4d4eb277fa112387bad76c0ba962fcd4af54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0689ba180f7d046d0d68efb7f68cb9379a365d72806b0183be1c506d663211",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-16T22:16:43Z",
    "title_canon_sha256": "7207f32227ccdf66cfa99ef0b3ec1a4f207ad82b2aa1118c937d4bfa269a4cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06543",
    "kind": "arxiv",
    "version": 2
  }
}