Pith Number

pith:P3WY65SG

pith:2015:P3WY65SGN3B4NKA6J6AOUPXVV3

not attested not anchored not stored refs pending

Supercharacter theories of type $A$ unipotent radicals and unipotent polytopes

Nathaniel Thiem

arxiv:1512.03446 v1 · 2015-12-10 · math.RT · 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{P3WY65SGN3B4NKA6J6AOUPXVV3}

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	2026-05-18T01:24:32.424364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eed8f76466ec3c6a81e4f80ea3ef5aefe6d6c77eac3ce332cb235d38e625152

Aliases

arxiv: 1512.03446 · arxiv_version: 1512.03446v1 · doi: 10.48550/arxiv.1512.03446 · pith_short_12: P3WY65SGN3B4 · pith_short_16: P3WY65SGN3B4NKA6 · pith_short_8: P3WY65SG

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/P3WY65SGN3B4NKA6J6AOUPXVV3 \
  | 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: 7eed8f76466ec3c6a81e4f80ea3ef5aefe6d6c77eac3ce332cb235d38e625152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf6a602b295fadd806db06425689227b8705b15f4de490a7e1c9723cf583cc3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-10T21:24:33Z",
    "title_canon_sha256": "142804e122c5b234ecbf9b5202bba7121476908ca3c3fc87d27164663870a7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03446",
    "kind": "arxiv",
    "version": 1
  }
}