Pith Number

pith:VHXWYQXV

pith:2025:VHXWYQXV6EO2TTI22NI5XE6M5B

not attested not anchored not stored refs pending

Higher Koszul duality and $n$-affineness

Emanuele Pavia, James Pascaleff, Nicol\`o Sibilla

arxiv:2504.16935 v3 · 2025-03-25 · math.AG · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHXWYQXV6EO2TTI22NI5XE6M5B}

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	2026-06-23T03:13:45.076637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ef6c42f5f11da9cd1ad351db93cce86f8f2f41740b2b6b310dc4640e6191c3

Aliases

arxiv: 2504.16935 · arxiv_version: 2504.16935v3 · doi: 10.48550/arxiv.2504.16935 · pith_short_12: VHXWYQXV6EO2 · pith_short_16: VHXWYQXV6EO2TTI2 · pith_short_8: VHXWYQXV

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/VHXWYQXV6EO2TTI22NI5XE6M5B \
  | 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: a9ef6c42f5f11da9cd1ad351db93cce86f8f2f41740b2b6b310dc4640e6191c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e49c0d64a862653fa76db4b63130e6ac527b09cd28d9e1b4658fdd6cbee1e2",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-03-25T11:00:45Z",
    "title_canon_sha256": "2f794189e2ae19914336451a24e03e0bbb9087c15c3edde39c877bd14816628a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16935",
    "kind": "arxiv",
    "version": 3
  }
}