Pith Number

pith:O4R2EKW7

pith:2020:O4R2EKW7EUDQIDWMFPIXNLRJL6

not attested not anchored not stored refs pending

Marked and labelled Gushel-Mukai fourfolds

Emma Brakkee, Laura Pertusi

arxiv:2002.04248 v1 · 2020-02-11 · 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{O4R2EKW7EUDQIDWMFPIXNLRJL6}

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	2026-07-05T00:39:43.671880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7723a22adf2507040ecc2bd176ae295f99fcfb4e04a8690a5d29db9a19a4eb48

Aliases

arxiv: 2002.04248 · arxiv_version: 2002.04248v1 · doi: 10.48550/arxiv.2002.04248 · pith_short_12: O4R2EKW7EUDQ · pith_short_16: O4R2EKW7EUDQIDWM · pith_short_8: O4R2EKW7

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/O4R2EKW7EUDQIDWMFPIXNLRJL6 \
  | 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: 7723a22adf2507040ecc2bd176ae295f99fcfb4e04a8690a5d29db9a19a4eb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc699ca393d48dc44d1395139bafa8621ccd6ae1b3828604994ae667deff69a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-02-11T08:11:23Z",
    "title_canon_sha256": "ff074c2407fc11b6c59c1ebb24c93278b1c7a0a8858a1a8129938efea5cdf242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.04248",
    "kind": "arxiv",
    "version": 1
  }
}