Pith Number

pith:EMFEJMDF

pith:2012:EMFEJMDFERYIJOY6XI3ULO73HM

not attested not anchored not stored refs pending

Embeddings of braid groups into mapping class groups and their homology

Carl-Friedrich B\"odigheimer, Ulrike Tillmann

arxiv:1204.4310 v1 · 2012-04-19 · math.AT · 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{EMFEJMDFERYIJOY6XI3ULO73HM}

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	2026-05-18T03:57:27.812405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230a44b065247084bb1eba3745bbfb3b057e1058dd6c45986dd28c3e5083a002

Aliases

arxiv: 1204.4310 · arxiv_version: 1204.4310v1 · doi: 10.48550/arxiv.1204.4310 · pith_short_12: EMFEJMDFERYI · pith_short_16: EMFEJMDFERYIJOY6 · pith_short_8: EMFEJMDF

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/EMFEJMDFERYIJOY6XI3ULO73HM \
  | 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: 230a44b065247084bb1eba3745bbfb3b057e1058dd6c45986dd28c3e5083a002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b19f7e6424b702f8a866d30584504f006f01ffa6c124d4cdf3c25811eb6e0fc3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-19T11:10:28Z",
    "title_canon_sha256": "8b754fc7da27a8d9140baaa559f1e062e87ccb37a95d4926bd1bdcb9a7fa5c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4310",
    "kind": "arxiv",
    "version": 1
  }
}