Pith Number

pith:53KLKBSZ

pith:2014:53KLKBSZZPLZZBZSEHA7X3KLV5

not attested not anchored not stored refs pending

Hom-entwining structures and Hom-Hopf-type modules

Serkan Kara\c{c}uha

arxiv:1412.2002 v2 · 2014-12-05 · math.QA · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53KLKBSZZPLZZBZSEHA7X3KLV5}

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	2026-05-18T02:16:39.134408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed4b50659cbd79c873221c1fbed4baf4e58af4841ce1700b841c420f48db74c

Aliases

arxiv: 1412.2002 · arxiv_version: 1412.2002v2 · doi: 10.48550/arxiv.1412.2002 · pith_short_12: 53KLKBSZZPLZ · pith_short_16: 53KLKBSZZPLZZBZS · pith_short_8: 53KLKBSZ

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/53KLKBSZZPLZZBZSEHA7X3KLV5 \
  | 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: eed4b50659cbd79c873221c1fbed4baf4e58af4841ce1700b841c420f48db74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006fa8dad4dbd0c211c2032590e58b1e21e060f0a23b5e968f5d60bb93825149",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-12-05T14:12:39Z",
    "title_canon_sha256": "5a759140b21b8e8034f2fffb91d1659e686ad48dfb15f463394659c604807029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2002",
    "kind": "arxiv",
    "version": 2
  }
}