Pith Number

pith:6YJUNIIB

pith:2014:6YJUNIIBYJDVGVVNBYIL5VSU57

not attested not anchored not stored refs pending

Algebraic degrees of stretch factors in mapping class groups

Hyunshik Shin

arxiv:1401.1836 v2 · 2014-01-08 · 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{6YJUNIIBYJDVGVVNBYIL5VSU57}

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	2026-05-18T01:10:54.774660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61346a101c2475356ad0e10bed654eff36714d8be191c4f9b4cd18e6dd26bfb

Aliases

arxiv: 1401.1836 · arxiv_version: 1401.1836v2 · doi: 10.48550/arxiv.1401.1836 · pith_short_12: 6YJUNIIBYJDV · pith_short_16: 6YJUNIIBYJDVGVVN · pith_short_8: 6YJUNIIB

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/6YJUNIIBYJDVGVVNBYIL5VSU57 \
  | 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: f61346a101c2475356ad0e10bed654eff36714d8be191c4f9b4cd18e6dd26bfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1daf41e0b06bafe0f6e888dd01e4f133cef62adbc008a5b124cab1ac4f509d4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-08T21:32:22Z",
    "title_canon_sha256": "f364e7bb11b6e01afe993d24642e0a28ebb6ffbe8ff56876ed0f82d2e3d7b6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1836",
    "kind": "arxiv",
    "version": 2
  }
}