Pith Number

pith:JDJWZIPA

pith:2017:JDJWZIPAHSBZKVWYCPKU3HW72I

not attested not anchored not stored refs pending

Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs

Christian B\"ohning, Hans-Christian Graf von Bothmer

arxiv:1704.01807 v1 · 2017-04-06 · 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{JDJWZIPAHSBZKVWYCPKU3HW72I}

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	2026-05-18T00:16:56.518048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d36ca1e03c839556d813d54d9edfd23f378dee35dfec29b64413aad64f7684

Aliases

arxiv: 1704.01807 · arxiv_version: 1704.01807v1 · doi: 10.48550/arxiv.1704.01807 · pith_short_12: JDJWZIPAHSBZ · pith_short_16: JDJWZIPAHSBZKVWY · pith_short_8: JDJWZIPA

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/JDJWZIPAHSBZKVWYCPKU3HW72I \
  | 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: 48d36ca1e03c839556d813d54d9edfd23f378dee35dfec29b64413aad64f7684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b86ff8ee11d00b394d7574bdcdd8c4b4ceb2a9124b9dc738e63d8bc139e736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-06T12:40:26Z",
    "title_canon_sha256": "40941b9ff3ddeebe0ac329fae60f0a0ec7190e915dc044aa72688b38d1e7dc01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01807",
    "kind": "arxiv",
    "version": 1
  }
}