Pith Number

pith:3HXTZ7EO

pith:2015:3HXTZ7EOKYRTXG4CN3UWJ2CCX5

not attested not anchored not stored refs pending

On families of rank-2 uniform bundles on Hirzebruch surfaces and Hilbert schemes of their scrolls

Flaminio Flamini, Gian Mario Besana, Maria Lucia Fania

arxiv:1501.06644 v1 · 2015-01-27 · 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{3HXTZ7EOKYRTXG4CN3UWJ2CCX5}

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	2026-05-18T02:28:39.444817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ef3cfc8e56233b9b826ee964e842bf7a0ab46e438daa9f443c50d1c3299915

Aliases

arxiv: 1501.06644 · arxiv_version: 1501.06644v1 · doi: 10.48550/arxiv.1501.06644 · pith_short_12: 3HXTZ7EOKYRT · pith_short_16: 3HXTZ7EOKYRTXG4C · pith_short_8: 3HXTZ7EO

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/3HXTZ7EOKYRTXG4CN3UWJ2CCX5 \
  | 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: d9ef3cfc8e56233b9b826ee964e842bf7a0ab46e438daa9f443c50d1c3299915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59708842b518addeaf428e7e0fe94bee8400eda0dd3495ef49950ca8c766b9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-27T03:01:15Z",
    "title_canon_sha256": "40af5678575b9d6ed1cde153d157b922762371ab10575a2df23fbbdc6d736e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06644",
    "kind": "arxiv",
    "version": 1
  }
}