Pith Number

pith:5BARHQBM

pith:2024:5BARHQBMWOLLJNBO2RAHA44SKG

not attested not anchored not stored refs pending

Determinant of the OU matrix of a braid diagram

Ayaka Shimizu, Yoshiro Yaguchi

arxiv:2410.17778 v2 · 2024-10-23 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BARHQBMWOLLJNBO2RAHA44SKG}

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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

Orbits by the up-down action of braid diagrams

Receipt and verification

First computed	2026-07-05T09:31:09.652100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84113c02cb396b4b42ed440707392518fdcd559cec8b3b492ee9bb89c8cbb88

Aliases

arxiv: 2410.17778 · arxiv_version: 2410.17778v2 · doi: 10.48550/arxiv.2410.17778 · pith_short_12: 5BARHQBMWOLL · pith_short_16: 5BARHQBMWOLLJNBO · pith_short_8: 5BARHQBM

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/5BARHQBMWOLLJNBO2RAHA44SKG \
  | 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: e84113c02cb396b4b42ed440707392518fdcd559cec8b3b492ee9bb89c8cbb88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3001885d9b0eeb97544ef3ea5a48e5fc569c64266b8846f6b52617a2755626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-10-23T11:30:33Z",
    "title_canon_sha256": "e1214acebe9b8767728a557008fbefef6091ff1dfbddccf35a557a518b992d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17778",
    "kind": "arxiv",
    "version": 2
  }
}