Pith Number

pith:XE3EMQYF

pith:2020:XE3EMQYFHQMCB57YYPHFV3PGSX

not attested not anchored not stored refs pending

A Categorical Quantum Toroidal Action on Hilbert Schemes

Yu Zhao

arxiv:2009.11267 v2 · 2020-09-23 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XE3EMQYFHQMCB57YYPHFV3PGSX}

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	2026-07-05T06:21:43.937155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9364643053c1820f7f8c3ce5aede695ecf67ad04c913b78eb5dea8272486164

Aliases

arxiv: 2009.11267 · arxiv_version: 2009.11267v2 · doi: 10.48550/arxiv.2009.11267 · pith_short_12: XE3EMQYFHQMC · pith_short_16: XE3EMQYFHQMCB57Y · pith_short_8: XE3EMQYF

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/XE3EMQYFHQMCB57YYPHFV3PGSX \
  | 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: b9364643053c1820f7f8c3ce5aede695ecf67ad04c913b78eb5dea8272486164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcb52364a897ddd7379e733f57b285802821c119b11d184e1f8f15aef178fb0",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-09-23T17:23:54Z",
    "title_canon_sha256": "9292fca31910c6c635bcdc6fc4674672d99e0312f03b185d8cedf8cd6ab840c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.11267",
    "kind": "arxiv",
    "version": 2
  }
}