Pith Number

pith:DHCTCYRC

pith:2009:DHCTCYRCJ3RWKXEDUWDEIPH6J3

not attested not anchored not stored refs pending

On Burau representations at roots of unity

Louis Funar, Toshitake Kohno

arxiv:0907.0568 v4 · 2009-07-03 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHCTCYRCJ3RWKXEDUWDEIPH6J3}

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	2026-05-18T01:20:59.722787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c53162224ee3655c83a586443cfe4ed2fd6f6ace425dc9874048695fabe747

Aliases

arxiv: 0907.0568 · arxiv_version: 0907.0568v4 · doi: 10.48550/arxiv.0907.0568 · pith_short_12: DHCTCYRCJ3RW · pith_short_16: DHCTCYRCJ3RWKXED · pith_short_8: DHCTCYRC

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/DHCTCYRCJ3RWKXEDUWDEIPH6J3 \
  | 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: 19c53162224ee3655c83a586443cfe4ed2fd6f6ace425dc9874048695fabe747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a4ad8b4ce840f0da409e6fd6be09381c42e1e6e856aadc0457f82842c081e5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-03T09:05:12Z",
    "title_canon_sha256": "bfc763952445d5106f40d8062d9e92ca20c9d787f9558b98fe0e2007cfde31f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0568",
    "kind": "arxiv",
    "version": 4
  }
}