Pith Number

pith:ACTW7SSE

pith:2016:ACTW7SSE72FQ7MYQBE22MHHCBI

not attested not anchored not stored refs pending

Good reduction and canonical heights of subvarieties

Benjamin Hutz

arxiv:1603.00860 v1 · 2016-03-02 · 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{ACTW7SSE72FQ7MYQBE22MHHCBI}

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	2026-05-18T01:19:42.792022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a76fca44fe8b0fb3100935a61ce20a37f632da1b2db9d3dd2c88b36ae4c2f6

Aliases

arxiv: 1603.00860 · arxiv_version: 1603.00860v1 · doi: 10.48550/arxiv.1603.00860 · pith_short_12: ACTW7SSE72FQ · pith_short_16: ACTW7SSE72FQ7MYQ · pith_short_8: ACTW7SSE

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/ACTW7SSE72FQ7MYQBE22MHHCBI \
  | 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: 00a76fca44fe8b0fb3100935a61ce20a37f632da1b2db9d3dd2c88b36ae4c2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5517566dd726d2dce14bd6586cdfee88d943309601bfe5154d71ea916153d36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-02T20:39:51Z",
    "title_canon_sha256": "a98e93de9c93df684a1b8e940190d77fb7163c2219181fdb409265bac2cc144d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00860",
    "kind": "arxiv",
    "version": 1
  }
}