Pith Number

pith:EEQKIKW5

pith:2020:EEQKIKW5BL5KH65WMSVBVK5G6B

not attested not anchored not stored refs pending

Height functions associated with closed subschemes

Yohsuke Matsuzawa

arxiv:2008.08153 v2 · 2020-08-18 · math.NT · 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{EEQKIKW5BL5KH65WMSVBVK5G6B}

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.

Cited by

1 paper in Pith

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties

Receipt and verification

First computed	2026-07-05T01:52:47.511916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2120a42add0afaa3fbb664aa1aaba6f069504c9510c6e542e4eca6a6b7a2dc3c

Aliases

arxiv: 2008.08153 · arxiv_version: 2008.08153v2 · doi: 10.48550/arxiv.2008.08153 · pith_short_12: EEQKIKW5BL5K · pith_short_16: EEQKIKW5BL5KH65W · pith_short_8: EEQKIKW5

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/EEQKIKW5BL5KH65WMSVBVK5G6B \
  | 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: 2120a42add0afaa3fbb664aa1aaba6f069504c9510c6e542e4eca6a6b7a2dc3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247025c7fdabef0f7a39019f39beab324d0292c3c3c13f326452966d02ca3996",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-08-18T20:42:16Z",
    "title_canon_sha256": "6ef0c8d1c162f015d5b222c76e691b2086aba24733379d560ed5a3ddf3d97d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08153",
    "kind": "arxiv",
    "version": 2
  }
}