Pith Number

pith:3QIKPMPX

pith:2017:3QIKPMPXWEJORP33URM23KAUS5

not attested not anchored not stored refs pending

Copointed Hopf algebras over $\mathbb{S}_4$

Agust\'in Garc\'ia Iglesias, Cristian Vay

arxiv:1706.06624 v2 · 2017-06-20 · 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{3QIKPMPXWEJORP33URM23KAUS5}

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	2026-05-18T00:31:58.771199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc10a7b1f7b112e8bf7ba459ada81497689614d79f26577dbdcef9ee51460f8f

Aliases

arxiv: 1706.06624 · arxiv_version: 1706.06624v2 · doi: 10.48550/arxiv.1706.06624 · pith_short_12: 3QIKPMPXWEJO · pith_short_16: 3QIKPMPXWEJORP33 · pith_short_8: 3QIKPMPX

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/3QIKPMPXWEJORP33URM23KAUS5 \
  | 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: dc10a7b1f7b112e8bf7ba459ada81497689614d79f26577dbdcef9ee51460f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7764e4f2cf006a036d2991854570edd60870c5695c0499080dbed85cc6dbac2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-06-20T19:01:08Z",
    "title_canon_sha256": "8eda0cfe61073495d713022bc43b48093411c1fa070baa6629c6228fe2afd7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06624",
    "kind": "arxiv",
    "version": 2
  }
}