Pith Number

pith:QA6K74L3

pith:2015:QA6K74L3FNK5LIDZ6XEYR5HQGG

not attested not anchored not stored refs pending

Annular Khovanov homology and knotted Schur-Weyl representations

Anthony M. Licata, J. Elisenda Grigsby, Stephan M. Wehrli

arxiv:1505.04386 v1 · 2015-05-17 · math.GT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA6K74L3FNK5LIDZ6XEYR5HQGG}

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	2026-05-17T23:53:34.512898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803caff17b2b55d5a079f5c988f4f0319e3ebf746824bb258e8ea169da8f9e43

Aliases

arxiv: 1505.04386 · arxiv_version: 1505.04386v1 · doi: 10.48550/arxiv.1505.04386 · pith_short_12: QA6K74L3FNK5 · pith_short_16: QA6K74L3FNK5LIDZ · pith_short_8: QA6K74L3

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/QA6K74L3FNK5LIDZ6XEYR5HQGG \
  | 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: 803caff17b2b55d5a079f5c988f4f0319e3ebf746824bb258e8ea169da8f9e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1704a9c6371d025f1656da83edd70e012f75309e725660eac0e4ccad480edd",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-17T12:12:45Z",
    "title_canon_sha256": "21ffaa30911f97b0e5ad2e637cca78cb12a2c9e1d99dc44c15e86eb16beb0060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04386",
    "kind": "arxiv",
    "version": 1
  }
}