Pith Number

pith:LWZDLWGC

pith:2025:LWZDLWGC4FVQXEZTJNLMGTDAQW

not attested not anchored not stored refs pending

Characterization of the OU matrix of a braid diagram

Ayaka Shimizu, Yoshiro Yaguchi

arxiv:2502.16035 v3 · 2025-02-22 · 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{LWZDLWGC4FVQXEZTJNLMGTDAQW}

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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

The CN matrix of a pure braid projection

Receipt and verification

First computed	2026-07-05T11:39:49.581862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db235d8c2e16b0b93334b56c34c608590e3f5ffa02fab9f9cfad979d15c8171

Aliases

arxiv: 2502.16035 · arxiv_version: 2502.16035v3 · doi: 10.48550/arxiv.2502.16035 · pith_short_12: LWZDLWGC4FVQ · pith_short_16: LWZDLWGC4FVQXEZT · pith_short_8: LWZDLWGC

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/LWZDLWGC4FVQXEZTJNLMGTDAQW \
  | 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: 5db235d8c2e16b0b93334b56c34c608590e3f5ffa02fab9f9cfad979d15c8171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7a0357393d236b51bf5805c0597209ea3281497978e5fbd960fa995963e842",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-02-22T01:57:13Z",
    "title_canon_sha256": "6680d52915b46f8dce0d350c3a880068cee8e5d847d044f4ce503e667855c864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.16035",
    "kind": "arxiv",
    "version": 3
  }
}