Pith Number

pith:AQBUVCPJ

pith:2021:AQBUVCPJUVXZRN3XG63RTFFYIP

not attested not anchored not stored refs pending

An introduction to relative Calabi-Yau structures

Bernhard Keller, Yu Wang

arxiv:2111.10771 v3 · 2021-11-21 · math.RT · math.AG · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQBUVCPJUVXZRN3XG63RTFFYIP}

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	2026-07-05T06:46:29.443804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04034a89e9a56f98b77737b71994b843c9ec970cd22e722de7429b0097965728

Aliases

arxiv: 2111.10771 · arxiv_version: 2111.10771v3 · doi: 10.48550/arxiv.2111.10771 · pith_short_12: AQBUVCPJUVXZ · pith_short_16: AQBUVCPJUVXZRN3X · pith_short_8: AQBUVCPJ

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/AQBUVCPJUVXZRN3XG63RTFFYIP \
  | 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: 04034a89e9a56f98b77737b71994b843c9ec970cd22e722de7429b0097965728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476c7be92bcdce6b62ca5e763a1139de0a5c93a946b4e86457bd1ac99e6f3b62",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-11-21T08:57:50Z",
    "title_canon_sha256": "03d7761b80ea1ba7dfbd73476835f094e81b19c59fc7af771409bfdb09400aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10771",
    "kind": "arxiv",
    "version": 3
  }
}