Pith Number

pith:4ESF4VTH

pith:2014:4ESF4VTHCWJPIMGB4NBS7VICBO

not attested not anchored not stored refs pending

Hypersurfaces achieving the Homma-Kim bound

Andrea Luigi Tironi

arxiv:1410.7320 v3 · 2014-10-27 · 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{4ESF4VTHCWJPIMGB4NBS7VICBO}

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	2026-05-18T01:17:01.162646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1245e56671592f430c1e3432fd5020bab0ae7cbb4b3d328df6604763c59d67f

Aliases

arxiv: 1410.7320 · arxiv_version: 1410.7320v3 · doi: 10.48550/arxiv.1410.7320 · pith_short_12: 4ESF4VTHCWJP · pith_short_16: 4ESF4VTHCWJPIMGB · pith_short_8: 4ESF4VTH

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/4ESF4VTHCWJPIMGB4NBS7VICBO \
  | 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: e1245e56671592f430c1e3432fd5020bab0ae7cbb4b3d328df6604763c59d67f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79f978d86e5bf11658388a85752740f90df3038b5ab2c2d1f443ac42f2cad70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-27T17:19:41Z",
    "title_canon_sha256": "887e9b6902b16bd8614f77c65e704b2ef9aeb418f031a64ce432f82cb4fea5be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7320",
    "kind": "arxiv",
    "version": 3
  }
}