Pith Number

pith:DBPW4WHZ

pith:2010:DBPW4WHZD7LZU6IRS6XL23JUFV

not attested not anchored not stored refs pending

Commensurators of surface braid groups

Saeko Yamagata, Yoshikata Kida

arxiv:1004.2946 v4 · 2010-04-17 · math.GR · 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{DBPW4WHZD7LZU6IRS6XL23JUFV}

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	2026-05-18T02:28:21.422095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

185f6e58f91fd79a791197aebd6d342d4d157e30b7d7e4dacb4d636b0da482bd

Aliases

arxiv: 1004.2946 · arxiv_version: 1004.2946v4 · doi: 10.48550/arxiv.1004.2946 · pith_short_12: DBPW4WHZD7LZ · pith_short_16: DBPW4WHZD7LZU6IR · pith_short_8: DBPW4WHZ

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/DBPW4WHZD7LZU6IRS6XL23JUFV \
  | 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: 185f6e58f91fd79a791197aebd6d342d4d157e30b7d7e4dacb4d636b0da482bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb160bbb2687863c95766328caad78cb8b4e131d86f232722b093a24a3124525",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-04-17T06:07:35Z",
    "title_canon_sha256": "50ad2ad12261585f75017df988bfbb3c6071a8198608fac13272b00c6984fd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2946",
    "kind": "arxiv",
    "version": 4
  }
}