Pith Number

pith:FL5DWRSZ

pith:2009:FL5DWRSZWG63KMS67VLFMNLPZW

not attested not anchored not stored refs pending

Lagrangian mapping class groups from a group homological point of view

Takuya Sakasai

arxiv:0910.5262 v2 · 2009-10-27 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FL5DWRSZWG63KMS67VLFMNLPZW}

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	2026-05-18T03:59:14.147197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afa3b4659b1bdb5325efd5656356fcda4d3b4cfb9b4667bd95f2925214d8645

Aliases

arxiv: 0910.5262 · arxiv_version: 0910.5262v2 · doi: 10.48550/arxiv.0910.5262 · pith_short_12: FL5DWRSZWG63 · pith_short_16: FL5DWRSZWG63KMS6 · pith_short_8: FL5DWRSZ

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/FL5DWRSZWG63KMS67VLFMNLPZW \
  | 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: 2afa3b4659b1bdb5325efd5656356fcda4d3b4cfb9b4667bd95f2925214d8645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2012b09584bd3700f471eb85abdf808e97840c56d01a70e29a8df4c95c15da7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-27T22:30:24Z",
    "title_canon_sha256": "f94b6057ff9b7e36512046370715ec0296700b16656dbc64464ff8449a9e3f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5262",
    "kind": "arxiv",
    "version": 2
  }
}