Pith Number

pith:UN6OUBBH

pith:2019:UN6OUBBH7VG67LQNT3JDN2UAPW

not attested not anchored not stored refs pending

Covariant Differential Calculus Over Monoidal Hom-Hopf Algebras

Serkan Kara\c{c}uha

arxiv:1905.10639 v1 · 2019-05-25 · 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{UN6OUBBH7VG67LQNT3JDN2UAPW}

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	2026-05-17T23:45:05.714626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37cea0427fd4defae0d9ed236ea807d99ff9d0649becff348e01942229de0fa

Aliases

arxiv: 1905.10639 · arxiv_version: 1905.10639v1 · doi: 10.48550/arxiv.1905.10639 · pith_short_12: UN6OUBBH7VG6 · pith_short_16: UN6OUBBH7VG67LQN · pith_short_8: UN6OUBBH

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/UN6OUBBH7VG67LQNT3JDN2UAPW \
  | 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: a37cea0427fd4defae0d9ed236ea807d99ff9d0649becff348e01942229de0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98477bd905535499c56670b125c7720b8962ea310396bf5d3ca8bee83559220",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-05-25T17:27:32Z",
    "title_canon_sha256": "b2fe58046457392734f66c0d6cf92aca27c06f3ef675a59d4813af3e671094e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10639",
    "kind": "arxiv",
    "version": 1
  }
}