Pith Number

pith:PCK4Z7TV

pith:2022:PCK4Z7TVO7KUDKXWWZGCKHJT5A

not attested not anchored not stored refs pending

Row-strict dual immaculate functions

Elizabeth Niese, Julianne Vega, Sheila Sundaram, Shiyun Wang, Stephanie van Willigenburg

arxiv:2202.00706 v3 · 2022-02-01 · 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{PCK4Z7TVO7KUDKXWWZGCKHJT5A}

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	2026-07-05T12:05:55.761770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502

Aliases

arxiv: 2202.00706 · arxiv_version: 2202.00706v3 · doi: 10.48550/arxiv.2202.00706 · pith_short_12: PCK4Z7TVO7KU · pith_short_16: PCK4Z7TVO7KUDKXW · pith_short_8: PCK4Z7TV

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/PCK4Z7TVO7KUDKXWWZGCKHJT5A \
  | 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: 7895ccfe7577d541aaf6b64c251d33e82a0776643337f395292e5235df005502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe37c942fe18e9fd8d704875959659f78d3dc9a0e6aba944a6caf414595d1f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-01T19:01:17Z",
    "title_canon_sha256": "31a0ba50ad0eaba05149bd22cd795588659e8a45c49575a1e6d7a1b506234860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.00706",
    "kind": "arxiv",
    "version": 3
  }
}