Pith Number

pith:SIOIPBWX

pith:2024:SIOIPBWXG7EMFH6AYJS2CB7UJN

not attested not anchored not stored refs pending

Enriched categorical aspects of homological perturbation theory

Luk\'a\v{s} Vok\v{r}\'inek

arxiv:2412.21182 v1 · 2024-12-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIOIPBWXG7EMFH6AYJS2CB7UJN}

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	2026-07-05T09:55:28.457384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921c8786d737c8c29fc0c265a107f44b4aa4dbab9c5cc6612518041b7de4c1a0

Aliases

arxiv: 2412.21182 · arxiv_version: 2412.21182v1 · doi: 10.48550/arxiv.2412.21182 · pith_short_12: SIOIPBWXG7EM · pith_short_16: SIOIPBWXG7EMFH6A · pith_short_8: SIOIPBWX

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/SIOIPBWXG7EMFH6AYJS2CB7UJN \
  | 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: 921c8786d737c8c29fc0c265a107f44b4aa4dbab9c5cc6612518041b7de4c1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f204e9f9e3cb8bdfbbe5065e87a98fce6469309c9165cd9442ca4c15e82a72f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-12-30T18:53:09Z",
    "title_canon_sha256": "90785f9c23f181269e30cf99e82cefdbf57c10adaf64537cf3b515d983319aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21182",
    "kind": "arxiv",
    "version": 1
  }
}