Pith Number

pith:476Z6KBA

pith:2015:476Z6KBASSIUJM2VHCCN4LZG5M

not attested not anchored not stored refs pending

Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures

Brendan Pawlowski, Eric Marberg, Zachary Hamaker

arxiv:1508.01823 v6 · 2015-08-07 · math.CO · math.AG · 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{476Z6KBASSIUJM2VHCCN4LZG5M}

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	2026-05-18T00:08:58.153924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7fd9f2820949144b3553884de2f26eb25477fba6ec82a05f5df628d78d500a3

Aliases

arxiv: 1508.01823 · arxiv_version: 1508.01823v6 · doi: 10.48550/arxiv.1508.01823 · pith_short_12: 476Z6KBASSIU · pith_short_16: 476Z6KBASSIUJM2V · pith_short_8: 476Z6KBA

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/476Z6KBASSIUJM2VHCCN4LZG5M \
  | 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: e7fd9f2820949144b3553884de2f26eb25477fba6ec82a05f5df628d78d500a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "751a8acf3df4988ea295c58d00e49e4fb73dc6d65d0929b2c5abadb330333243",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-07T21:41:58Z",
    "title_canon_sha256": "b93e5e9e6c4a78287375eb1ea756a1f8aaef5bf8e26c1f49229e509d8be4488c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01823",
    "kind": "arxiv",
    "version": 6
  }
}