Pith Number

pith:EF3GR3AY

pith:2021:EF3GR3AYJJGFX2MKECW46OMSQX

not attested not anchored not stored refs pending

Immanant Positivity for Catalan-Stieltjes Matrices

Arthur L.B. Yang, Candice X.T. Zhang, Ethan Y.H. Li, Grace M.X. Li

arxiv:2106.12816 v1 · 2021-06-24 · 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{EF3GR3AYJJGFX2MKECW46OMSQX}

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	2026-07-05T02:52:06.433511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217668ec184a4c5be98a20adcf399285c370018a12d9402a50b457e1e5d30447

Aliases

arxiv: 2106.12816 · arxiv_version: 2106.12816v1 · doi: 10.48550/arxiv.2106.12816 · pith_short_12: EF3GR3AYJJGF · pith_short_16: EF3GR3AYJJGFX2MK · pith_short_8: EF3GR3AY

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/EF3GR3AYJJGFX2MKECW46OMSQX \
  | 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: 217668ec184a4c5be98a20adcf399285c370018a12d9402a50b457e1e5d30447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5951d10bc71a46f16d3105028cbfa0eaad67b5c885dd4a282bab5706cd72fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-24T08:13:12Z",
    "title_canon_sha256": "6123de425ae142fa576f7eaab6196585d4b2e00db4fcbec9e4aef2d197d3d06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12816",
    "kind": "arxiv",
    "version": 1
  }
}