Pith Number

pith:NK7A6DHC

pith:2009:NK7A6DHCQN2FGRZCZPJXBOYWFN

not attested not anchored not stored refs pending

Formality of the framed little 2-discs operad and semidirect products

Jeffrey Giansiracusa, Paolo Salvatore

arxiv:0911.4428 v2 · 2009-11-23 · math.QA · 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{NK7A6DHCQN2FGRZCZPJXBOYWFN}

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	2026-05-18T04:39:18.353460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6abe0f0ce28374534722cbd370bb162b6f0937fd83ca74bac2d5920ad0e834de

Aliases

arxiv: 0911.4428 · arxiv_version: 0911.4428v2 · doi: 10.48550/arxiv.0911.4428 · pith_short_12: NK7A6DHCQN2F · pith_short_16: NK7A6DHCQN2FGRZC · pith_short_8: NK7A6DHC

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/NK7A6DHCQN2FGRZCZPJXBOYWFN \
  | 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: 6abe0f0ce28374534722cbd370bb162b6f0937fd83ca74bac2d5920ad0e834de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349f977ca454567bcd319d213e4409fae713ec480b280974674be42bb24c928a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-11-23T15:33:07Z",
    "title_canon_sha256": "01a01e8426f37f002e7b1797bc41408ac12d9c2513e14a7a8e2aa6e9edfa33ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4428",
    "kind": "arxiv",
    "version": 2
  }
}