Pith Number

pith:WXA6JOTX

pith:2018:WXA6JOTXXNZZNL3KSTLAXT3USP

not attested not anchored not stored refs pending

The RAAGs on the complement graphs of path graphs in mapping class groups

Erika Kuno, Takuya Katayama

arxiv:1804.03470 v2 · 2018-04-10 · 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{WXA6JOTXXNZZNL3KSTLAXT3USP}

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	2026-05-18T00:17:32.662110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c1e4ba77bb7396af6a94d60bcf7493c658061f5927f40263b9e41b3ca6a5d5

Aliases

arxiv: 1804.03470 · arxiv_version: 1804.03470v2 · doi: 10.48550/arxiv.1804.03470 · pith_short_12: WXA6JOTXXNZZ · pith_short_16: WXA6JOTXXNZZNL3K · pith_short_8: WXA6JOTX

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/WXA6JOTXXNZZNL3KSTLAXT3USP \
  | 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: b5c1e4ba77bb7396af6a94d60bcf7493c658061f5927f40263b9e41b3ca6a5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7948de67e5545ca791decd7417f00c4468c415cdc47c0f51d7ca7748e441b9cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-10T12:06:53Z",
    "title_canon_sha256": "f710638cf9f78df78c74dd919b815eeb534466f4b9b6ff9b0204c1cdb3cb0840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03470",
    "kind": "arxiv",
    "version": 2
  }
}