Pith Number

pith:5KXZ4DXV

pith:2009:5KXZ4DXVBNUSKYFTM4HQMHYT4S

not attested not anchored not stored refs pending

On some open problems on maximal curves

Massimo Giulietti, Stefania Fanali

arxiv:0906.2948 v1 · 2009-06-16 · 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{5KXZ4DXVBNUSKYFTM4HQMHYT4S}

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	2026-05-18T04:28:28.380533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaaf9e0ef50b692560b3670f061f13e4b0266dafe0d78b178bcc02e697918148

Aliases

arxiv: 0906.2948 · arxiv_version: 0906.2948v1 · doi: 10.48550/arxiv.0906.2948 · pith_short_12: 5KXZ4DXVBNUS · pith_short_16: 5KXZ4DXVBNUSKYFT · pith_short_8: 5KXZ4DXV

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/5KXZ4DXVBNUSKYFTM4HQMHYT4S \
  | 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: eaaf9e0ef50b692560b3670f061f13e4b0266dafe0d78b178bcc02e697918148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbddb9ebe954701422be46ce9e7ac5959eba19a4e2af657257dbf3966292deb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-16T14:23:30Z",
    "title_canon_sha256": "9cc01e64d713596cf8c6988082ffecb0ce8cdbcb868167434b7d7245001f07e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2948",
    "kind": "arxiv",
    "version": 1
  }
}