Pith Number

pith:OYTXWMRX

pith:2017:OYTXWMRXFOJB3BFX6Y2MKDTAYL

not attested not anchored not stored refs pending

The cohomology ring of some Hopf algebras

Karin Erdmann, Oeyvind Solberg, Xingting Wang

arxiv:1710.11558 v1 · 2017-10-31 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYTXWMRXFOJB3BFX6Y2MKDTAYL}

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	2026-05-18T00:31:36.951782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76277b32372b921d84b7f634c50e60c2e45d055a015214f652ce861a77bd78e6

Aliases

arxiv: 1710.11558 · arxiv_version: 1710.11558v1 · doi: 10.48550/arxiv.1710.11558 · pith_short_12: OYTXWMRXFOJB · pith_short_16: OYTXWMRXFOJB3BFX · pith_short_8: OYTXWMRX

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/OYTXWMRXFOJB3BFX6Y2MKDTAYL \
  | 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: 76277b32372b921d84b7f634c50e60c2e45d055a015214f652ce861a77bd78e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c499af895f243c64891cb62acae23f3dd09c4e04ed3bdec8c129c00d8293a14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-10-31T16:15:51Z",
    "title_canon_sha256": "cc16713466c6754a180a6a39286031e47a51904e967d717e75a082726b84dd29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11558",
    "kind": "arxiv",
    "version": 1
  }
}