Pith Number

pith:Y7BNKHZK

pith:2020:Y7BNKHZKBFCKKUH2R56VDI3D7E

not attested not anchored not stored refs pending

Gushel-Mukai varieties

Olivier Debarre

arxiv:2001.03485 v2 · 2020-01-10 · 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{Y7BNKHZKBFCKKUH2R56VDI3D7E}

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.

Cited by

2 papers in Pith

Algebraic cycles on Gushel-Mukai varieties

The Lichtenbaum-Quillen dimension of complex varieties

Receipt and verification

First computed	2026-07-05T11:29:43.566310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c2d51f2a0944a550fa8f7d51a363f917055a08ff8128fe36862080496826dc

Aliases

arxiv: 2001.03485 · arxiv_version: 2001.03485v2 · doi: 10.48550/arxiv.2001.03485 · pith_short_12: Y7BNKHZKBFCK · pith_short_16: Y7BNKHZKBFCKKUH2 · pith_short_8: Y7BNKHZK

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/Y7BNKHZKBFCKKUH2R56VDI3D7E \
  | 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: c7c2d51f2a0944a550fa8f7d51a363f917055a08ff8128fe36862080496826dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5625e9deba38fa8c36a89668df1ebf886b73492582dac2f268138ee58073a4af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-01-10T14:48:09Z",
    "title_canon_sha256": "bed035ccbe7955affbb283279b4d33bc22d536fd93154fc8a508812f5611fe10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.03485",
    "kind": "arxiv",
    "version": 2
  }
}