Pith Number

pith:YT5O5Q4D

pith:2015:YT5O5Q4DUQQXJLPKWU3VRXBD3W

not attested not anchored not stored refs pending

On the Complexity of Multiplication in the Iwahori--Hecke Algebra of the Symmetric Group

Alice C. Niemeyer, Cheryl E. Praeger, G\"otz Pfeiffer

arxiv:1512.05319 v2 · 2015-12-16 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT5O5Q4DUQQXJLPKWU3VRXBD3W}

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	2026-05-18T01:04:37.694654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4faeec383a42174adeab53758dc23ddab4cf940bb68d1385638144ff511dea1

Aliases

arxiv: 1512.05319 · arxiv_version: 1512.05319v2 · doi: 10.48550/arxiv.1512.05319 · pith_short_12: YT5O5Q4DUQQX · pith_short_16: YT5O5Q4DUQQXJLPK · pith_short_8: YT5O5Q4D

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/YT5O5Q4DUQQXJLPKWU3VRXBD3W \
  | 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: c4faeec383a42174adeab53758dc23ddab4cf940bb68d1385638144ff511dea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97cc598ddecfe67387890f3ffdc3a62d0a44a4da9745afd6157c393389b058a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-16T20:30:25Z",
    "title_canon_sha256": "2c6967c52e025b97fee2d59038656caba72d62ebebbd738a98a1076452c74b49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05319",
    "kind": "arxiv",
    "version": 2
  }
}