Pith Number

pith:OMLSTMBS

pith:2007:OMLSTMBS4FT7HVAQRME7KWWHSD

not attested not anchored not stored refs pending

Canonical heights and the arithmetic complexity of morphisms on projective space

Joseph H. Silverman, Shu Kawaguchi

arxiv:0706.2166 v1 · 2007-06-14 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMLSTMBS4FT7HVAQRME7KWWHSD}

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	2026-05-18T04:21:12.552918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731729b032e167f3d4108b09f55ac790f7cec416dc96c766c375895de8ea1ff5

Aliases

arxiv: 0706.2166 · arxiv_version: 0706.2166v1 · doi: 10.48550/arxiv.0706.2166 · pith_short_12: OMLSTMBS4FT7 · pith_short_16: OMLSTMBS4FT7HVAQ · pith_short_8: OMLSTMBS

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/OMLSTMBS4FT7HVAQRME7KWWHSD \
  | 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: 731729b032e167f3d4108b09f55ac790f7cec416dc96c766c375895de8ea1ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5366d4dbba534c487a3797f09650d0c747f5f034680cdaf5b4d687d6c3086bd4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-06-14T17:38:45Z",
    "title_canon_sha256": "ef77b342a10e6d0f2ea9f88e5424997b51aa9b0e9a96db1f91203b78c0da0148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2166",
    "kind": "arxiv",
    "version": 1
  }
}