Pith Number

pith:ILRFZCJW

pith:2018:ILRFZCJWO67MY35LX4OQQL46BK

not attested not anchored not stored refs pending

Counting zero-dimensional subschemes in higher dimensions

Martijn Kool, Yalong Cao

arxiv:1805.04746 v2 · 2018-05-12 · math.AG · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILRFZCJWO67MY35LX4OQQL46BK}

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	2026-05-17T23:57:59.395697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e25c893677becc6fabbf1d082f9e0a8c789efd46330651ecf35f51662c9bee

Aliases

arxiv: 1805.04746 · arxiv_version: 1805.04746v2 · doi: 10.48550/arxiv.1805.04746 · pith_short_12: ILRFZCJWO67M · pith_short_16: ILRFZCJWO67MY35L · pith_short_8: ILRFZCJW

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/ILRFZCJWO67MY35LX4OQQL46BK \
  | 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: 42e25c893677becc6fabbf1d082f9e0a8c789efd46330651ecf35f51662c9bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf881b9a48b625e5700657fcc95b6f534529178c75710ac9445a41f5cc61a587",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-12T16:13:18Z",
    "title_canon_sha256": "3a961dd92c61564ed4423ab3b94a7d54e70ec9670bb7164063167f1598b2a920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04746",
    "kind": "arxiv",
    "version": 2
  }
}