Pith Number

pith:I4746D5N

pith:2016:I4746D5NJCJ3QKAPWBIEMFDFRP

not attested not anchored not stored refs pending

Dynamical systems and operator algebras associated to Artin's representation of braid groups

Tron Omland

arxiv:1609.04737 v2 · 2016-09-15 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4746D5NJCJ3QKAPWBIEMFDFRP}

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	2026-05-17T23:47:53.059216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473fcf0fad4893b8280fb0504614658bf6d38128459ac85b8fb8e30433359e1a

Aliases

arxiv: 1609.04737 · arxiv_version: 1609.04737v2 · doi: 10.48550/arxiv.1609.04737 · pith_short_12: I4746D5NJCJ3 · pith_short_16: I4746D5NJCJ3QKAP · pith_short_8: I4746D5N

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/I4746D5NJCJ3QKAPWBIEMFDFRP \
  | 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: 473fcf0fad4893b8280fb0504614658bf6d38128459ac85b8fb8e30433359e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047aee7a6d508f120b466b9e8b58d8892a5a42b716e5d83d1c814367ab78c922",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-15T17:06:08Z",
    "title_canon_sha256": "a2548ef5f1885ad05cd659b29381aa96d1a4b62e49d5a454b572dcd59c8cc309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04737",
    "kind": "arxiv",
    "version": 2
  }
}