Pith Number

pith:J5KAXCJ7

pith:2018:J5KAXCJ7KHWV7CPJ3UOAONPTHG

not attested not anchored not stored refs pending

Smoothable zero dimensional schemes and special projections of algebraic varieties

Grzegorz Kapustka, Joachim Jelisiejew, Michal Kapustka

arxiv:1807.10373 v2 · 2018-07-26 · 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{J5KAXCJ7KHWV7CPJ3UOAONPTHG}

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	2026-05-17T23:57:46.692389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f540b893f51ed5f89e9dd1c0735f3398c7b83959e1b514f76ca917b33283066

Aliases

arxiv: 1807.10373 · arxiv_version: 1807.10373v2 · doi: 10.48550/arxiv.1807.10373 · pith_short_12: J5KAXCJ7KHWV · pith_short_16: J5KAXCJ7KHWV7CPJ · pith_short_8: J5KAXCJ7

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/J5KAXCJ7KHWV7CPJ3UOAONPTHG \
  | 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: 4f540b893f51ed5f89e9dd1c0735f3398c7b83959e1b514f76ca917b33283066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c98213d40fcb6a375441e762b6ce9f42c3d0fd4e1dc30e1bb3554a7bcff6b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-26T21:32:30Z",
    "title_canon_sha256": "40a0ec87e75bfc79cd3c9e0fc557d4073cbbafa4bb4bc74afa3bec258aa32107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10373",
    "kind": "arxiv",
    "version": 2
  }
}