Pith Number

pith:4CXCTDQY

pith:2017:4CXCTDQYSEH4YSZLRE4RM74BYB

not attested not anchored not stored refs pending

Smoothable Gorenstein points via marked schemes and double-generic initial ideals

Cristina Bertone, Francesca Cioffi, Margherita Roggero

arxiv:1712.06392 v1 · 2017-12-18 · 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{4CXCTDQYSEH4YSZLRE4RM74BYB}

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	2026-05-18T00:27:47.980852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ae298e18910fcc4b2b8939167f81c0579c4fee18e035dec79ff0d6490cd4a0

Aliases

arxiv: 1712.06392 · arxiv_version: 1712.06392v1 · doi: 10.48550/arxiv.1712.06392 · pith_short_12: 4CXCTDQYSEH4 · pith_short_16: 4CXCTDQYSEH4YSZL · pith_short_8: 4CXCTDQY

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/4CXCTDQYSEH4YSZLRE4RM74BYB \
  | 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: e0ae298e18910fcc4b2b8939167f81c0579c4fee18e035dec79ff0d6490cd4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f783801b36d6a57fb1337d9275be245f08c6ce5e559ddc071790968a8ef49a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-18T13:38:09Z",
    "title_canon_sha256": "26261ed4878533b9a3fb3786a1dce99c6c2476200ce7fccc55da90433cded5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06392",
    "kind": "arxiv",
    "version": 1
  }
}