Pith Number

pith:NQKKWBYG

pith:2012:NQKKWBYGLRKGIURL5YGYPQVA6A

not attested not anchored not stored refs pending

Reading the dual Garside length of braids from homological and quantum representations

Tetsuya Ito

arxiv:1205.5245 v1 · 2012-05-23 · math.GR · 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{NQKKWBYGLRKGIURL5YGYPQVA6A}

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	2026-05-18T03:55:01.956281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c14ab07065c5464522bee0d87c2a0f02f5e5f3d199639f8834d7bc786bdccdc

Aliases

arxiv: 1205.5245 · arxiv_version: 1205.5245v1 · doi: 10.48550/arxiv.1205.5245 · pith_short_12: NQKKWBYGLRKG · pith_short_16: NQKKWBYGLRKGIURL · pith_short_8: NQKKWBYG

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/NQKKWBYGLRKGIURL5YGYPQVA6A \
  | 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: 6c14ab07065c5464522bee0d87c2a0f02f5e5f3d199639f8834d7bc786bdccdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc43ca954d330b5e6ae34c2ea9a359474319c23536eb6e7cfaee783f22557db2",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-23T18:28:09Z",
    "title_canon_sha256": "0d25cf9aff09b81ce16d142e1918291dceb2cad8cb25f724384ef19701eb668a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5245",
    "kind": "arxiv",
    "version": 1
  }
}