Pith Number

pith:GBWANGOU

pith:2024:GBWANGOUF2FHFKL7TNCLFERTYT

not attested not anchored not stored refs pending

Abstract categorical residues and Calabi-Yau structures

Yuan Gao

arxiv:2412.05927 v2 · 2024-12-08 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBWANGOUF2FHFKL7TNCLFERTYT}

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	2026-07-05T11:14:00.514483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306c0699d42e8a72a97f9b44b29233c4e223d89e190808a676abd56f5f1cb077

Aliases

arxiv: 2412.05927 · arxiv_version: 2412.05927v2 · doi: 10.48550/arxiv.2412.05927 · pith_short_12: GBWANGOUF2FH · pith_short_16: GBWANGOUF2FHFKL7 · pith_short_8: GBWANGOU

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/GBWANGOUF2FHFKL7TNCLFERTYT \
  | 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: 306c0699d42e8a72a97f9b44b29233c4e223d89e190808a676abd56f5f1cb077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350b0c5e923159c7da1e9acfde70dca0c6b854a60a9abedb322ecfe44d8a066d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-12-08T12:45:31Z",
    "title_canon_sha256": "fb95d41ad27db7889c303dece3e1409e87211bf0d330e25d7fbcbe951432f8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05927",
    "kind": "arxiv",
    "version": 2
  }
}