Pith Number

pith:F6576LWL

pith:2007:F6576LWL3VMZ5734RC24RKKC33

not attested not anchored not stored refs pending

The crystal commutor and Drinfeld's unitarized R-matrix

Joel Kamnitzer, Peter Tingley

arxiv:0707.2248 v2 · 2007-07-16 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6576LWL3VMZ5734RC24RKKC33}

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.

Cited by

1 paper in Pith

A Kohno--Drinfeld Theorem for iquantum Weyl groups

Receipt and verification

First computed	2026-07-04T15:10:28.498782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbbff2ecbdd599eff7c88b5c8a942dee9e232e45739c3680ff404a60942b8a2

Aliases

arxiv: 0707.2248 · arxiv_version: 0707.2248v2 · doi: 10.48550/arxiv.0707.2248 · pith_short_12: F6576LWL3VMZ · pith_short_16: F6576LWL3VMZ5734 · pith_short_8: F6576LWL

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/F6576LWL3VMZ5734RC24RKKC33 \
  | 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: 2fbbff2ecbdd599eff7c88b5c8a942dee9e232e45739c3680ff404a60942b8a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "308800e5c7bb9c4c2992e5ac0fed9fe1ce5e514bcde4557cc73d5fdb8d19688d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-07-16T00:30:14Z",
    "title_canon_sha256": "192c27338ce736c269384a2f0a1cfff51e6cc6af7b0a2a826a7854bf8500b70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2248",
    "kind": "arxiv",
    "version": 2
  }
}