Pith Number

pith:O7TUT2R2

pith:2017:O7TUT2R2EC32PDVFHMBGCDY5NM

not attested not anchored not stored refs pending

Box polynomials and the excedance matrix

Alex Happ, Cyrus Hettle, Dustin Hedmark, Richard Ehrenborg

arxiv:1708.09804 v1 · 2017-08-31 · 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{O7TUT2R2EC32PDVFHMBGCDY5NM}

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	2026-05-18T00:36:15.040344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e749ea3a20b7a78ea53b02610f1d6b32cadbd95a19af007e3e277b1b5f3fef

Aliases

arxiv: 1708.09804 · arxiv_version: 1708.09804v1 · doi: 10.48550/arxiv.1708.09804 · pith_short_12: O7TUT2R2EC32 · pith_short_16: O7TUT2R2EC32PDVF · pith_short_8: O7TUT2R2

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/O7TUT2R2EC32PDVFHMBGCDY5NM \
  | 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: 77e749ea3a20b7a78ea53b02610f1d6b32cadbd95a19af007e3e277b1b5f3fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9ffaa533317f8e7d0e2317e1cf672daf31eb02b5738589c5f7f89b4965e2f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-31T16:35:36Z",
    "title_canon_sha256": "d7337f4e37e9fe923ff4d1531741a05a6500894698c1333fa44c5936b221f822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09804",
    "kind": "arxiv",
    "version": 1
  }
}