Pith Number

pith:3NAV4VKP

pith:2026:3NAV4VKP3T7P366DLSYCFT7VFL

not attested not anchored not stored refs pending

Shape changing identities for permuted-basement nonsymmetric Macdonald polynomials

Guilherme Zeus Dantas e Moura, Olya Mandelshtam

arxiv:2606.02395 v1 · 2026-06-01 · 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{3NAV4VKP3T7P366DLSYCFT7VFL}

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	2026-06-02T03:04:57.985111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db415e554fdcfefdfbc35cb022cff52aea755abec301e4f5eaecdce70566bbcd

Aliases

arxiv: 2606.02395 · arxiv_version: 2606.02395v1 · doi: 10.48550/arxiv.2606.02395 · pith_short_12: 3NAV4VKP3T7P · pith_short_16: 3NAV4VKP3T7P366D · pith_short_8: 3NAV4VKP

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/3NAV4VKP3T7P366DLSYCFT7VFL \
  | 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: db415e554fdcfefdfbc35cb022cff52aea755abec301e4f5eaecdce70566bbcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf76e78a77f6fab079cf8f0b7981f20ecb785443c8d7af9b876beb49c460990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T15:43:41Z",
    "title_canon_sha256": "bba53f3b668c29058969af227b60b8ef76118c39362f55b83abc4c65cceb66c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02395",
    "kind": "arxiv",
    "version": 1
  }
}