Pith Number

pith:5IKNGJER

pith:2026:5IKNGJERWAH2NBSLILSHL4JWXL

not attested not anchored not stored refs pending

Universal Hilbert series coefficients of the superspace coinvariant ring

John Lentfer, Sylvie Corteel

arxiv:2608.08187 v1 · 2026-08-08 · 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{5IKNGJERWAH2NBSLILSHL4JWXL}

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	2026-08-11T01:21:55.089705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea14d32491b00fa6864b42e475f136baf133d4c3a4ab7537409a745b083f6ae1

Aliases

arxiv: 2608.08187 · arxiv_version: 2608.08187v1 · doi: 10.48550/arxiv.2608.08187 · pith_short_12: 5IKNGJERWAH2 · pith_short_16: 5IKNGJERWAH2NBSL · pith_short_8: 5IKNGJER

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/5IKNGJERWAH2NBSLILSHL4JWXL \
  | 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: ea14d32491b00fa6864b42e475f136baf133d4c3a4ab7537409a745b083f6ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b1cdc4114f78d95cd18113ad1ee920295479cd513d6c74c5a49ea9dfd681eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-08T15:28:08Z",
    "title_canon_sha256": "3a807cd51232bbd0a0dea89d315cd0d9922f2d4ebd6b4999f7e633d1d790d146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08187",
    "kind": "arxiv",
    "version": 1
  }
}