Pith Number

pith:YSYTHGLG

pith:2017:YSYTHGLGTLZRS5FBHHKNSKU4R3

not attested not anchored not stored refs pending

Finite presentations for spherical/braid twist groups from decorated marked surfaces

Yu Qiu, Yu Zhou

arxiv:1703.10053 v4 · 2017-03-29 · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSYTHGLGTLZRS5FBHHKNSKU4R3}

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	2026-07-05T03:08:41.103366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b13399669af31974a139d4d92a9c8eefd1d429d74a8d4e6c13a84db87a0c16

Aliases

arxiv: 1703.10053 · arxiv_version: 1703.10053v4 · doi: 10.48550/arxiv.1703.10053 · pith_short_12: YSYTHGLGTLZR · pith_short_16: YSYTHGLGTLZRS5FB · pith_short_8: YSYTHGLG

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/YSYTHGLGTLZRS5FBHHKNSKU4R3 \
  | 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: c4b13399669af31974a139d4d92a9c8eefd1d429d74a8d4e6c13a84db87a0c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5803b4aaf40893a16a1cc4b14821aab7105cb08b3aa752a9750e32a5e1be9570",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-29T14:17:26Z",
    "title_canon_sha256": "2ec489896a42d9121897393d9b432612f0454f40c6296ab12f7bca1018956f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10053",
    "kind": "arxiv",
    "version": 4
  }
}