Pith Number

pith:3NDTRJX6

pith:2018:3NDTRJX6KYLIPIPQQB2LIA4BJB

not attested not anchored not stored refs pending

Variation of numerical dimension of singular hermitian line bundles

Shin-ichi Matsumura

arxiv:1811.04385 v1 · 2018-11-11 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NDTRJX6KYLIPIPQQB2LIA4BJB}

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	2026-05-18T00:01:05.318980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4738a6fe561687a1f08074b40381485c86ddeaa605da7e881dc3d20cbc07a6

Aliases

arxiv: 1811.04385 · arxiv_version: 1811.04385v1 · doi: 10.48550/arxiv.1811.04385 · pith_short_12: 3NDTRJX6KYLI · pith_short_16: 3NDTRJX6KYLIPIPQ · pith_short_8: 3NDTRJX6

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/3NDTRJX6KYLIPIPQQB2LIA4BJB \
  | 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: db4738a6fe561687a1f08074b40381485c86ddeaa605da7e881dc3d20cbc07a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeb83d4de462c50598f713665990d4cd022a34f6d39e5e4872ab6b33682dab0d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-11T10:18:18Z",
    "title_canon_sha256": "6726a8512e37a00321279ae2e793618539ca6919ab151cc37e929d6f6101af06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04385",
    "kind": "arxiv",
    "version": 1
  }
}