Pith Number

pith:5D4BDGZN

pith:2009:5D4BDGZNMVROJL5ZMNNSZ6AXGJ

not attested not anchored not stored refs pending

Local heights on Galois covers of the projective line

Robin de Jong

arxiv:0911.1271 v2 · 2009-11-06 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5D4BDGZNMVROJL5ZMNNSZ6AXGJ}

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	2026-05-18T03:59:14.138712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f8119b2d6562e4afb9635b2cf81732589193e367ea890f7d48f0d0c02db143

Aliases

arxiv: 0911.1271 · arxiv_version: 0911.1271v2 · doi: 10.48550/arxiv.0911.1271 · pith_short_12: 5D4BDGZNMVRO · pith_short_16: 5D4BDGZNMVROJL5Z · pith_short_8: 5D4BDGZN

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/5D4BDGZNMVROJL5ZMNNSZ6AXGJ \
  | 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: e8f8119b2d6562e4afb9635b2cf81732589193e367ea890f7d48f0d0c02db143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b341cdf6cfc744ec161520a86f14071a658168981f530dd81440dc6c0f4ec26c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-06T15:16:21Z",
    "title_canon_sha256": "abef3c01b2e8f87ae9c2acc56b2a3b10ef40b2dadd13f8dbebc4c905216c61f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1271",
    "kind": "arxiv",
    "version": 2
  }
}