Pith Number

pith:B3YRPXTA

pith:2011:B3YRPXTALSQDJPT4ALPQHCQFKP

not attested not anchored not stored refs pending

Triviality of some representations of $MCG(S_g)$ in $GL(n,C), Diff(S^2)$ and $Homeo(T^2)$

John Franks, Michael Handel

arxiv:1102.4584 v3 · 2011-02-22 · 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{B3YRPXTALSQDJPT4ALPQHCQFKP}

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	2026-05-18T04:23:45.192340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef117de605ca034be7c02df038a0553d471b52ad457eb932713e42d7b8bdae0

Aliases

arxiv: 1102.4584 · arxiv_version: 1102.4584v3 · doi: 10.48550/arxiv.1102.4584 · pith_short_12: B3YRPXTALSQD · pith_short_16: B3YRPXTALSQDJPT4 · pith_short_8: B3YRPXTA

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/B3YRPXTALSQDJPT4ALPQHCQFKP \
  | 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: 0ef117de605ca034be7c02df038a0553d471b52ad457eb932713e42d7b8bdae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c6a3c6a5e95534cefd0b97d787e74d2ef079fa9d93da9347059ea67560f99b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-22T19:20:59Z",
    "title_canon_sha256": "bb8c3daa449925a8a6a15d4b90406bfa46147e830e61c535b81d34209b451e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4584",
    "kind": "arxiv",
    "version": 3
  }
}