Pith Number

pith:RMKKGCZK

pith:2021:RMKKGCZKTDPXJOZBWT24OYSRTB

not attested not anchored not stored refs pending

Moduli Space of Sheaves and Categorified Commutator of Functors

Yu Zhao

arxiv:2112.12434 v3 · 2021-12-23 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMKKGCZKTDPXJOZBWT24OYSRTB}

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	2026-06-10T01:09:09.663869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b14a30b2a98df74bb21b4f5c76251986a1e4038f5ae511d7d86fe8432b8e4db

Aliases

arxiv: 2112.12434 · arxiv_version: 2112.12434v3 · doi: 10.48550/arxiv.2112.12434 · pith_short_12: RMKKGCZKTDPX · pith_short_16: RMKKGCZKTDPXJOZB · pith_short_8: RMKKGCZK

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/RMKKGCZKTDPXJOZBWT24OYSRTB \
  | 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: 8b14a30b2a98df74bb21b4f5c76251986a1e4038f5ae511d7d86fe8432b8e4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bae204ec1a63b13b5e751d624029d169fbb18cffb74213ac2ac39912889e8c",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-23T09:54:29Z",
    "title_canon_sha256": "1c34a26014e4fa396da0977f60464c96d86ff2765f0ba145012636a893443274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12434",
    "kind": "arxiv",
    "version": 3
  }
}