Pith Number

pith:QH6PC5AT

pith:2021:QH6PC5ATZ4M2X2JAAN4FVJGYCB

not attested not anchored not stored refs pending

Semi-biproducts of monoids

Nelson Martins-Ferreira

arxiv:2109.06278 v1 · 2021-09-13 · 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{QH6PC5ATZ4M2X2JAAN4FVJGYCB}

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.

Cited by

1 paper in Pith

The cohomology objects of a semi-abelian variety are small

Receipt and verification

First computed	2026-07-05T03:13:52.562699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81fcf17413cf19abe92003785aa4d8107ecbf1bf786b50c67ee7d294a6e41fca

Aliases

arxiv: 2109.06278 · arxiv_version: 2109.06278v1 · doi: 10.48550/arxiv.2109.06278 · pith_short_12: QH6PC5ATZ4M2 · pith_short_16: QH6PC5ATZ4M2X2JA · pith_short_8: QH6PC5AT

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/QH6PC5ATZ4M2X2JAAN4FVJGYCB \
  | 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: 81fcf17413cf19abe92003785aa4d8107ecbf1bf786b50c67ee7d294a6e41fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b454a832049bccb6a0e1bcba3dcb6f680445b74910c527052a5339a5dc6c2e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-09-13T19:31:24Z",
    "title_canon_sha256": "e4ecc6459a395fffa41bf2343e4085bd04a0837b6f115a3472c2c390d37267a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06278",
    "kind": "arxiv",
    "version": 1
  }
}