Pith Number

pith:7WKFXI6Z

pith:2024:7WKFXI6ZRB3JFANTG6A4EA6G5D

not attested not anchored not stored refs pending

Birational complexity and dual complexes

Joaqu\'in Moraga, Mirko Mauri

arxiv:2402.10136 v2 · 2024-02-15 · 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{7WKFXI6ZRB3JFANTG6A4EA6G5D}

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

1 paper in Pith

Bott-Chern complexity of K\"ahler pairs

Receipt and verification

First computed	2026-07-05T08:14:03.852579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd945ba3d988769281b33781c203c6e8d56695c8077cb9e97d52ef3aaca61fe3

Aliases

arxiv: 2402.10136 · arxiv_version: 2402.10136v2 · doi: 10.48550/arxiv.2402.10136 · pith_short_12: 7WKFXI6ZRB3J · pith_short_16: 7WKFXI6ZRB3JFANT · pith_short_8: 7WKFXI6Z

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/7WKFXI6ZRB3JFANTG6A4EA6G5D \
  | 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: fd945ba3d988769281b33781c203c6e8d56695c8077cb9e97d52ef3aaca61fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ab809fe8eeb60e6f7a7bfa253b9fd3708c03d15614684013c0aff4e9e1e222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-15T17:38:58Z",
    "title_canon_sha256": "925cec78a01843bc4135f3f3655d6c6e7071522a9ab22589d22a6ae9d3f5af09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.10136",
    "kind": "arxiv",
    "version": 2
  }
}