Pith Number

pith:NAEYK2Q2

pith:2024:NAEYK2Q2KD55Q6PF7PFFXLS3TQ

not attested not anchored not stored refs pending

Higher categories of push-pull spans, II: Matrix factorizations

Lorenzo Riva

arxiv:2409.00219 v2 · 2024-08-30 · math.CT · math.AT · 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{NAEYK2Q2KD55Q6PF7PFFXLS3TQ}

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	2026-05-20T00:00:15.910281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6809856a1a50fbd879e5fbca5bae5b9c17e43255bafa4094c09b13e91d346868

Aliases

arxiv: 2409.00219 · arxiv_version: 2409.00219v2 · doi: 10.48550/arxiv.2409.00219 · pith_short_12: NAEYK2Q2KD55 · pith_short_16: NAEYK2Q2KD55Q6PF · pith_short_8: NAEYK2Q2

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/NAEYK2Q2KD55Q6PF7PFFXLS3TQ \
  | 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: 6809856a1a50fbd879e5fbca5bae5b9c17e43255bafa4094c09b13e91d346868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62db5a4586d8e545064e29cd30f2f2d81257fde81ba5a84c524e9843c86a74fe",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-08-30T19:22:21Z",
    "title_canon_sha256": "e803bb498ed6b0c66a1afb439703f9194dca3f669e13837b97c7a62feb7b7f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00219",
    "kind": "arxiv",
    "version": 2
  }
}