Pith Number

pith:6XRM7ZTS

pith:2010:6XRM7ZTSG4VZSWUJMJ7GUPHGUV

not attested not anchored not stored refs pending

The numerical equivalence relation for height functions and ampleness and nefness criteria for divisors

Chong Gyu Lee

arxiv:1010.3954 v2 · 2010-10-19 · math.AG · 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{6XRM7ZTSG4VZSWUJMJ7GUPHGUV}

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	2026-05-18T02:58:01.640939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e2cfe672372b995a89627e6a3ce6a56d3f0740c37c1b6e8d7523c8cb37996d

Aliases

arxiv: 1010.3954 · arxiv_version: 1010.3954v2 · doi: 10.48550/arxiv.1010.3954 · pith_short_12: 6XRM7ZTSG4VZ · pith_short_16: 6XRM7ZTSG4VZSWUJ · pith_short_8: 6XRM7ZTS

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/6XRM7ZTSG4VZSWUJMJ7GUPHGUV \
  | 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: f5e2cfe672372b995a89627e6a3ce6a56d3f0740c37c1b6e8d7523c8cb37996d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a304438e10747b8a34d144ba67d9555abdbc9e10f0210b3e45e1c683d3882027",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-19T15:32:08Z",
    "title_canon_sha256": "1bb95532d2016a99c0e882c747c9385aedb9dd59fd225c44e2f1e77e703ec03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3954",
    "kind": "arxiv",
    "version": 2
  }
}