Pith Number

pith:ZG7XS5VC

pith:2023:ZG7XS5VCHXQBLI4QEQZO6PBF3X

not attested not anchored not stored refs pending

The mixed Hilden braid group and the plat equivalence in handlebodies

Paolo Cavicchioli, Sofia Lambropoulou

arxiv:2312.10781 v1 · 2023-12-17 · 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{ZG7XS5VCHXQBLI4QEQZO6PBF3X}

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	2026-07-05T07:25:12.245038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bf7976a23de015a3902432ef3c25ddfd5bd4a51dd7bffb592d26973db0e7b2

Aliases

arxiv: 2312.10781 · arxiv_version: 2312.10781v1 · doi: 10.48550/arxiv.2312.10781 · pith_short_12: ZG7XS5VCHXQB · pith_short_16: ZG7XS5VCHXQBLI4Q · pith_short_8: ZG7XS5VC

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/ZG7XS5VCHXQBLI4QEQZO6PBF3X \
  | 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: c9bf7976a23de015a3902432ef3c25ddfd5bd4a51dd7bffb592d26973db0e7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be5c447919fd3e39a517dc062fb55faef9f77dae56cb2d4dc0c236826d9c14a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-12-17T18:10:31Z",
    "title_canon_sha256": "e666fafaf3c2ef3edea148146b62ffb0f04dd775d768819c9f8b38bd84b56322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10781",
    "kind": "arxiv",
    "version": 1
  }
}