Pith Number

pith:6YS27NOY

pith:2017:6YS27NOYXKAFKGWT4P4N2SAVGL

not attested not anchored not stored refs pending

Ample canonical heights for endomorphisms on projective varieties

Takahiro Shibata

arxiv:1710.05278 v2 · 2017-10-15 · math.AG · math.DS · 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{6YS27NOYXKAFKGWT4P4N2SAVGL}

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	2026-05-18T00:24:35.126111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f625afb5d8ba80551ad3e3f8dd481532c8122f168ae83a9731f3a76828f0ef46

Aliases

arxiv: 1710.05278 · arxiv_version: 1710.05278v2 · doi: 10.48550/arxiv.1710.05278 · pith_short_12: 6YS27NOYXKAF · pith_short_16: 6YS27NOYXKAFKGWT · pith_short_8: 6YS27NOY

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/6YS27NOYXKAFKGWT4P4N2SAVGL \
  | 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: f625afb5d8ba80551ad3e3f8dd481532c8122f168ae83a9731f3a76828f0ef46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a1509f8a81598d6f5858e35fb4d78298e78ddc4ff35d2d6c3ad84c6b59a2ad",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-15T05:35:34Z",
    "title_canon_sha256": "a68be2336da54b3efd362d88757b414384584068572fe32721c2b96b95100953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05278",
    "kind": "arxiv",
    "version": 2
  }
}