Pith Number

pith:G22DA7MU

pith:2017:G22DA7MUJOJFB4TRMWUHWGYZAI

not attested not anchored not stored refs pending

The center of the twisted Heisenberg category, factorial Schur $Q$-functions, and transition functions on the Schur graph

Can Ozan O\u{g}uz, Henry Kvinge, Michael Reeks

arxiv:1712.09626 v2 · 2017-12-27 · math.RT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G22DA7MUJOJFB4TRMWUHWGYZAI}

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	2026-05-18T00:10:47.044131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b4307d944b9250f27165a87b1b190202e3be3c00a0f08caebecd7c6816d5a9

Aliases

arxiv: 1712.09626 · arxiv_version: 1712.09626v2 · doi: 10.48550/arxiv.1712.09626 · pith_short_12: G22DA7MUJOJF · pith_short_16: G22DA7MUJOJFB4TR · pith_short_8: G22DA7MU

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/G22DA7MUJOJFB4TRMWUHWGYZAI \
  | 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: 36b4307d944b9250f27165a87b1b190202e3be3c00a0f08caebecd7c6816d5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef11384f743aedb5575c5df5d0e7bb7b0c361f45e8b89eb5083b3b3c5bd38ef",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-27T16:46:32Z",
    "title_canon_sha256": "85b1880b860d63e84886e47a585028a307872abc5cfb35f3a8276eb7dd560059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09626",
    "kind": "arxiv",
    "version": 2
  }
}