Pith Number

pith:LJEFK2A2

pith:2016:LJEFK2A2SDPMDHBJLYOCLP2V4Y

not attested not anchored not stored refs pending

Khovanov's Heisenberg category, moments in free probability, and shifted symmetric functions

Anthony M. Licata, Henry Kvinge, Stuart Mitchell

arxiv:1610.04571 v1 · 2016-10-14 · math.RT · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJEFK2A2SDPMDHBJLYOCLP2V4Y}

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	2026-05-18T01:02:14.736441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4855681a90dec19c295e1c25bf55e6079a7f392bdbbd4e05e2e682dd7961bb

Aliases

arxiv: 1610.04571 · arxiv_version: 1610.04571v1 · doi: 10.48550/arxiv.1610.04571 · pith_short_12: LJEFK2A2SDPM · pith_short_16: LJEFK2A2SDPMDHBJ · pith_short_8: LJEFK2A2

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/LJEFK2A2SDPMDHBJLYOCLP2V4Y \
  | 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: 5a4855681a90dec19c295e1c25bf55e6079a7f392bdbbd4e05e2e682dd7961bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d4719e66f405b6c9c69408fbe6f00358a3a91df570a31928c5f69e9b06e662",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-14T18:31:26Z",
    "title_canon_sha256": "acf1d02bd13be32ac8fae2d3e6a220ae12384685996a21b2c9700c82d760257d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04571",
    "kind": "arxiv",
    "version": 1
  }
}