Pith Number

pith:3JTDVAPP

pith:2024:3JTDVAPPFZRYQBAQECY2M3I3ET

not attested not anchored not stored refs pending

Roots of Alexander polynomials of random positive 3-braids

Giulio Tiozzo, Nathan M. Dunfield

arxiv:2402.06771 v2 · 2024-02-09 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JTDVAPPFZRYQBAQECY2M3I3ET}

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	2026-07-05T10:27:07.356384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da663a81ef2e6388041020b1a66d1b24fd47d8b4f60bccfa0e6c6d485b210999

Aliases

arxiv: 2402.06771 · arxiv_version: 2402.06771v2 · doi: 10.48550/arxiv.2402.06771 · pith_short_12: 3JTDVAPPFZRY · pith_short_16: 3JTDVAPPFZRYQBAQ · pith_short_8: 3JTDVAPP

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/3JTDVAPPFZRYQBAQECY2M3I3ET \
  | 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: da663a81ef2e6388041020b1a66d1b24fd47d8b4f60bccfa0e6c6d485b210999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5865e4088327dbca27ef498a9b753a488ee97be6b2052752cecf6eafb8b25443",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-02-09T20:23:24Z",
    "title_canon_sha256": "0dd10dad7ff46f7956905bc05cea825bd618d906c29e1d55bdd885ade2e6f698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.06771",
    "kind": "arxiv",
    "version": 2
  }
}