Pith Number

pith:BTYRV2IB

pith:2011:BTYRV2IBDQK7XVE6H2RP2KS6K7

not attested not anchored not stored refs pending

On the adjoint representation of $\mathfrak{sl}_n$ and the Fibonacci numbers

Pamela E. Harris

arxiv:1106.1408 v1 · 2011-06-07 · math.RT · 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{BTYRV2IBDQK7XVE6H2RP2KS6K7}

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	2026-05-18T04:20:23.739306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf11ae9011c15fbd49e3ea2fd2a5e57fc98ffe42dea6bdf3123f1b2bebcd4ab

Aliases

arxiv: 1106.1408 · arxiv_version: 1106.1408v1 · doi: 10.48550/arxiv.1106.1408 · pith_short_12: BTYRV2IBDQK7 · pith_short_16: BTYRV2IBDQK7XVE6 · pith_short_8: BTYRV2IB

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/BTYRV2IBDQK7XVE6H2RP2KS6K7 \
  | 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: 0cf11ae9011c15fbd49e3ea2fd2a5e57fc98ffe42dea6bdf3123f1b2bebcd4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73c38dbabbba5f3ec8eee67b64c5443123ca01d1264fc150d9f15a318dff02e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-06-07T18:25:24Z",
    "title_canon_sha256": "ef1e9fed0b301d2758772401dfb27d501383f21a6e9d2223399195660b5aa0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1408",
    "kind": "arxiv",
    "version": 1
  }
}