Pith Number

pith:ZLJWRVD4

pith:2013:ZLJWRVD4MCP7T274TCOXOUHGMX

not attested not anchored not stored refs pending

A Bertini-type theorem for free arithmetic linear series

Hideaki Ikoma

arxiv:1311.6588 v2 · 2013-11-26 · 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{ZLJWRVD4MCP7T274TCOXOUHGMX}

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	2026-05-18T01:22:19.188494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad368d47c609ff9ebfc989d7750e665cbbf86e9060fbbf7b7ceb7e92ee10d1a

Aliases

arxiv: 1311.6588 · arxiv_version: 1311.6588v2 · doi: 10.48550/arxiv.1311.6588 · pith_short_12: ZLJWRVD4MCP7 · pith_short_16: ZLJWRVD4MCP7T274 · pith_short_8: ZLJWRVD4

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/ZLJWRVD4MCP7T274TCOXOUHGMX \
  | 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: cad368d47c609ff9ebfc989d7750e665cbbf86e9060fbbf7b7ceb7e92ee10d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d69f4cdee8ebeb8a04aeebae74524f154fac4e8e720ea50992550477834b391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-26T08:31:58Z",
    "title_canon_sha256": "e51c0d4b13e0f4b35c3e8603ac84133e9143cd9a395a3876a308622bebbf3b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6588",
    "kind": "arxiv",
    "version": 2
  }
}