Pith Number

pith:NNHTRZDN

pith:2026:NNHTRZDNLB2QSC5TG4RNKIGTXS

not attested not anchored not stored refs pending

Presentations for categories of crystals

Daniel Tubbenhauer, David He

arxiv:2606.02249 v1 · 2026-06-01 · math.RT · math.CO · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNHTRZDNLB2QSC5TG4RNKIGTXS}

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	2026-06-02T03:04:54.119059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4f38e46d5875090bb33722d520d3bc9e703a88d86f3b3538df728751c29412

Aliases

arxiv: 2606.02249 · arxiv_version: 2606.02249v1 · doi: 10.48550/arxiv.2606.02249 · pith_short_12: NNHTRZDNLB2Q · pith_short_16: NNHTRZDNLB2QSC5T · pith_short_8: NNHTRZDN

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/NNHTRZDNLB2QSC5TG4RNKIGTXS \
  | 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: 6b4f38e46d5875090bb33722d520d3bc9e703a88d86f3b3538df728751c29412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64de6ae7800f95f57ef0c9c155be4020b1b1f54042f596f92892cc689d0b601c",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-01T13:41:14Z",
    "title_canon_sha256": "a4c81c659c1e19b1423f1c86fe3b59795f8a47cc84bea6c813cdc3a97e92735c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02249",
    "kind": "arxiv",
    "version": 1
  }
}