Pith Number

pith:S2BXFXZE

pith:2014:S2BXFXZE36PLD44AFAT5MLG3SM

not attested not anchored not stored refs pending

Irreducibility of the Gorenstein loci of Hilbert schemes via ray families

Gianfranco Casnati, Joachim Jelisiejew, Roberto Notari

arxiv:1405.7678 v4 · 2014-05-29 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2BXFXZE36PLD44AFAT5MLG3SM}

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	2026-05-18T01:25:55.821553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968372df24df9eb1f3802827d62cdb93028d52560377391796a572d1b35f5c0f

Aliases

arxiv: 1405.7678 · arxiv_version: 1405.7678v4 · doi: 10.48550/arxiv.1405.7678 · pith_short_12: S2BXFXZE36PL · pith_short_16: S2BXFXZE36PLD44A · pith_short_8: S2BXFXZE

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/S2BXFXZE36PLD44AFAT5MLG3SM \
  | 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: 968372df24df9eb1f3802827d62cdb93028d52560377391796a572d1b35f5c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23211da8ec4187aca49ac8636a535b89d26026f911cd74243658ac3cf8f37902",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-29T19:47:31Z",
    "title_canon_sha256": "0e86ebcf4b9845d4d10d4320c892fbd5e8b47324bccb7af9dde7cc5e8a4ef5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7678",
    "kind": "arxiv",
    "version": 4
  }
}