Pith Number

pith:IMGK6C4A

pith:2019:IMGK6C4AVSHN4ZYBLFQPMTOOD4

not attested not anchored not stored refs pending

Congruences in character tables of symmetric groups

Alexander R. Miller

arxiv:1908.03741 v2 · 2019-08-10 · math.CO · 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{IMGK6C4AVSHN4ZYBLFQPMTOOD4}

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	2026-07-05T01:49:35.042659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430caf0b80ac8ede67015960f64dce1f2beba7fec19102a5823ebb571963eb8d

Aliases

arxiv: 1908.03741 · arxiv_version: 1908.03741v2 · doi: 10.48550/arxiv.1908.03741 · pith_short_12: IMGK6C4AVSHN · pith_short_16: IMGK6C4AVSHN4ZYB · pith_short_8: IMGK6C4A

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/IMGK6C4AVSHN4ZYBLFQPMTOOD4 \
  | 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: 430caf0b80ac8ede67015960f64dce1f2beba7fec19102a5823ebb571963eb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8b6e60f9bfbc1eff7ef8669f2c517e2449561ab92a4fa733c52746ed3e875a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-10T12:15:05Z",
    "title_canon_sha256": "60de98ae915eefc0f7440da99acd727065aaa3c3dc0d95d683ae72b7b6601e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03741",
    "kind": "arxiv",
    "version": 2
  }
}