Pith Number

pith:AMBEC5F6

pith:2025:AMBEC5F62YG56XP325QTMHCSMX

not attested not anchored not stored refs pending

The two extremal rays of some Hyper-K\"ahler fourfolds

Bert van Geemen, Federica Galluzzi

arxiv:2501.09578 v2 · 2025-01-16 · 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{AMBEC5F62YG56XP325QTMHCSMX}

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	2026-07-05T10:44:21.584550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03024174bed60ddf5dfbd761361c5265deeb0ac1af5eab535205ded6fe69436c

Aliases

arxiv: 2501.09578 · arxiv_version: 2501.09578v2 · doi: 10.48550/arxiv.2501.09578 · pith_short_12: AMBEC5F62YG5 · pith_short_16: AMBEC5F62YG56XP3 · pith_short_8: AMBEC5F6

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/AMBEC5F62YG56XP325QTMHCSMX \
  | 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: 03024174bed60ddf5dfbd761361c5265deeb0ac1af5eab535205ded6fe69436c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22073ddf8f8b96b6b75c754e984ce2a29664af0c7f4c133ecca46f848c17e3ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-16T14:55:30Z",
    "title_canon_sha256": "9ab6f5169cfb5e9b8f5fcadf75c8c7f401d7d0688ade492edc950e906e99be60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09578",
    "kind": "arxiv",
    "version": 2
  }
}