Pith Number

pith:JNKBR4SV

pith:2018:JNKBR4SVWVWXUUH4NUF2M2V3XG

not attested not anchored not stored refs pending

On Antipodes Of Hom-Hopf algebras

Mohammad Hassanzadeh

arxiv:1803.01441 v2 · 2018-03-05 · 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{JNKBR4SVWVWXUUH4NUF2M2V3XG}

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	2026-05-17T23:50:38.747584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5418f255b56d7a50fc6d0ba66abbb9be39342be52af4959a805eaeca62ecc9

Aliases

arxiv: 1803.01441 · arxiv_version: 1803.01441v2 · doi: 10.48550/arxiv.1803.01441 · pith_short_12: JNKBR4SVWVWX · pith_short_16: JNKBR4SVWVWXUUH4 · pith_short_8: JNKBR4SV

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/JNKBR4SVWVWXUUH4NUF2M2V3XG \
  | 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: 4b5418f255b56d7a50fc6d0ba66abbb9be39342be52af4959a805eaeca62ecc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f8ef38a0b53ca25d03a8e37d48d14b7daa30d4f0aaf2e80cef53bb62347c1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-03-05T00:04:21Z",
    "title_canon_sha256": "b5556d771e7f6e089c51091e43b3b4ca862819817f038dc35e6e5fe51bd5af0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01441",
    "kind": "arxiv",
    "version": 2
  }
}