Pith Number

pith:VKS73PMK

pith:2015:VKS73PMKYUZF72JLUCXGA46JKD

not attested not anchored not stored refs pending

Canonical growth conditions associated to ample line bundles

David Witt Nystr\"om

arxiv:1509.05528 v4 · 2015-09-18 · 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{VKS73PMKYUZF72JLUCXGA46JKD}

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	2026-05-18T00:23:02.071396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa5fdbd8ac5325fe92ba0ae6073c950e648acad7b1e0ae022240417af9f9b7b

Aliases

arxiv: 1509.05528 · arxiv_version: 1509.05528v4 · doi: 10.48550/arxiv.1509.05528 · pith_short_12: VKS73PMKYUZF · pith_short_16: VKS73PMKYUZF72JL · pith_short_8: VKS73PMK

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/VKS73PMKYUZF72JLUCXGA46JKD \
  | 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: aaa5fdbd8ac5325fe92ba0ae6073c950e648acad7b1e0ae022240417af9f9b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a525feaa320f4826337a2d03a87ca50eadccbc32b61e30b7a213b4fae89790",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-18T07:48:20Z",
    "title_canon_sha256": "89dc912ded89e6550b8a23c64c865d59145ec3d9b8d77ccae168bcc3f3738bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05528",
    "kind": "arxiv",
    "version": 4
  }
}