Pith Number

pith:RFQIWOL2

pith:2010:RFQIWOL2B2QWPVEKXCZK2T42L6

not attested not anchored not stored refs pending

Simply Intersecting Pair Maps in the Mapping Class Group

Leah Childers

arxiv:1012.4751 v1 · 2010-12-21 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFQIWOL2B2QWPVEKXCZK2T42L6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Calculating the second rational cohomology group of the Torelli group

Receipt and verification

First computed	2026-05-18T04:32:53.775059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89608b397a0ea167d48ab8b2ad4f9a5faea924fd26b9c8aa4fbbc7fa59e32dac

Aliases

arxiv: 1012.4751 · arxiv_version: 1012.4751v1 · doi: 10.48550/arxiv.1012.4751 · pith_short_12: RFQIWOL2B2QW · pith_short_16: RFQIWOL2B2QWPVEK · pith_short_8: RFQIWOL2

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/RFQIWOL2B2QWPVEKXCZK2T42L6 \
  | 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: 89608b397a0ea167d48ab8b2ad4f9a5faea924fd26b9c8aa4fbbc7fa59e32dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601a91f448f4de26bd31d732ff7277a47f01bcbd5a89482fb65767e96f26c6e6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-21T18:06:17Z",
    "title_canon_sha256": "3b3864b098601b79734512b470b19d83e4a5b1102ef30da3a142bedba46e76c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4751",
    "kind": "arxiv",
    "version": 1
  }
}