Pith Number

pith:VGLDEPMU

pith:2026:VGLDEPMUL6PFN77ZM6I5B4ONFP

not attested not anchored not stored refs pending

Grove polynomials and $K$-theoretic quasisymmetry

Hunter Spink, Philippe Nadeau, Vasu Tewari

arxiv:2605.22750 v1 · 2026-05-21 · 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{VGLDEPMUL6PFN77ZM6I5B4ONFP}

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	2026-05-22T02:04:53.190994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a996323d945f9e56fff96791d0f1cd2bdfff9a7fc75ec57942e394faf05a242c

Aliases

arxiv: 2605.22750 · arxiv_version: 2605.22750v1 · doi: 10.48550/arxiv.2605.22750 · pith_short_12: VGLDEPMUL6PF · pith_short_16: VGLDEPMUL6PFN77Z · pith_short_8: VGLDEPMU

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/VGLDEPMUL6PFN77ZM6I5B4ONFP \
  | 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: a996323d945f9e56fff96791d0f1cd2bdfff9a7fc75ec57942e394faf05a242c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9a877ff88ec8857821ffdd1d4bfff450655aa3ef0fd8d3862b404f0d132a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T17:19:40Z",
    "title_canon_sha256": "100a9decd228a40a78011868cee7a30d1f2cc5bb6de4578997cbff04d77c4119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22750",
    "kind": "arxiv",
    "version": 1
  }
}