Pith Number

pith:FEWCGOSK

pith:2015:FEWCGOSKQNBWVHKJQXJX3U5TCE

not attested not anchored not stored refs pending

Extending Hecke endomorphism algebras at roots of unity

Brian Parshall, Jie Du, Leonard Scott

arxiv:1501.06481 v2 · 2015-01-26 · 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{FEWCGOSKQNBWVHKJQXJX3U5TCE}

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	2026-05-18T01:32:00.936196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

292c233a4a83436a9d4985d37dd3b3112f59a4376ebe6ef23489f3fa00f21136

Aliases

arxiv: 1501.06481 · arxiv_version: 1501.06481v2 · doi: 10.48550/arxiv.1501.06481 · pith_short_12: FEWCGOSKQNBW · pith_short_16: FEWCGOSKQNBWVHKJ · pith_short_8: FEWCGOSK

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/FEWCGOSKQNBWVHKJQXJX3U5TCE \
  | 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: 292c233a4a83436a9d4985d37dd3b3112f59a4376ebe6ef23489f3fa00f21136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07da586d3882d0e14115614a1454ca295867744d7d6e1477270fc71597c73fb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-26T16:55:03Z",
    "title_canon_sha256": "8139e3877ea5cb8e6d78832dd36174d3af429a8fab9871ff2e645cbcc940d879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06481",
    "kind": "arxiv",
    "version": 2
  }
}