Pith Number

pith:PZFECHFH

pith:2024:PZFECHFHSTLXD5A34PR7BS7XGL

not attested not anchored not stored refs pending

Counting rational points on Hirzebruch-Kleinschmidt varieties over global function fields

Pedro Montero, Sebasti\'an Herrero, Tob\'ias Mart\'inez

arxiv:2408.07631 v2 · 2024-08-14 · math.NT · 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{PZFECHFHSTLXD5A34PR7BS7XGL}

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	2026-07-05T09:10:32.375864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4a411ca794d771f41be3e3f0cbf732d0f90af2a71bd19d550bc9ab491d8df6

Aliases

arxiv: 2408.07631 · arxiv_version: 2408.07631v2 · doi: 10.48550/arxiv.2408.07631 · pith_short_12: PZFECHFHSTLX · pith_short_16: PZFECHFHSTLXD5A3 · pith_short_8: PZFECHFH

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/PZFECHFHSTLXD5A34PR7BS7XGL \
  | 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: 7e4a411ca794d771f41be3e3f0cbf732d0f90af2a71bd19d550bc9ab491d8df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1878b46d7d615d8bd8b0070924eb6fbaba05275a8e874676741f3842ae6f8f14",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-14T15:57:28Z",
    "title_canon_sha256": "bdee3c3b4f78005128ce4e8d8ae5804690af6fd6d59cc348a37964c9799c298c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.07631",
    "kind": "arxiv",
    "version": 2
  }
}