Pith Number

pith:HFNMHQSK

pith:2015:HFNMHQSKHTRKCS5Z2RLNDMVRJS

not attested not anchored not stored refs pending

Commutative Schur Rings Over Symmetric Groups II: The Case n=6

Amanda E. Francis, Stephen P. Humphries

arxiv:1508.05428 v1 · 2015-08-21 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFNMHQSKHTRKCS5Z2RLNDMVRJS}

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	2026-05-18T01:34:54.007254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395ac3c24a3ce2a14bb9d456d1b2b14c8cf6fd2f7af4ffb0a258a737ce76ea7f

Aliases

arxiv: 1508.05428 · arxiv_version: 1508.05428v1 · doi: 10.48550/arxiv.1508.05428 · pith_short_12: HFNMHQSKHTRK · pith_short_16: HFNMHQSKHTRKCS5Z · pith_short_8: HFNMHQSK

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/HFNMHQSKHTRKCS5Z2RLNDMVRJS \
  | 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: 395ac3c24a3ce2a14bb9d456d1b2b14c8cf6fd2f7af4ffb0a258a737ce76ea7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351fd4f0e90404b8af1b00bd26a19bb6a44b22ac520c71ae6ffdb8f4325c20ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-21T22:23:02Z",
    "title_canon_sha256": "bab7f1ab8b0427db401d6e77ce5a089e6a4c5a0816df31b3def14d1f21075974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05428",
    "kind": "arxiv",
    "version": 1
  }
}