Pith Number

pith:7BIZPZUD

pith:2006:7BIZPZUDK5ORWJ2PBNCYU6Y2QS

not attested not anchored not stored refs pending

Some problems on mapping class groups and moduli space

Benson Farb

arxiv:math/0606432 v1 · 2006-06-19 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BIZPZUDK5ORWJ2PBNCYU6Y2QS}

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.

Cited by

1 paper in Pith

Finite generation, algebraicity, and representation stability for homology of Torelli groups

Receipt and verification

First computed	2026-07-04T14:55:31.551225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85197e683575d1b274f0b458a7b1a8499106353511f651c676a491c6cad89f5

Aliases

arxiv: math/0606432 · arxiv_version: math/0606432v1 · doi: 10.48550/arxiv.math/0606432 · pith_short_12: 7BIZPZUDK5OR · pith_short_16: 7BIZPZUDK5ORWJ2P · pith_short_8: 7BIZPZUD

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/7BIZPZUDK5ORWJ2PBNCYU6Y2QS \
  | 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: f85197e683575d1b274f0b458a7b1a8499106353511f651c676a491c6cad89f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9208cd1c5f1592021caf2d24847b197be639897d320caca2cf6d0089d49f39",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-06-19T01:33:02Z",
    "title_canon_sha256": "d605def4c71bb7e214a2193d48f637417cf5725b37c0880d2f900d2a130a39cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606432",
    "kind": "arxiv",
    "version": 1
  }
}