Pith Number

pith:VGNIPVGL

pith:2017:VGNIPVGLTNTREUQWXASIER6JYX

not attested not anchored not stored refs pending

(Non-)formality of the extended Swiss Cheese operads

Thomas Willwacher

arxiv:1706.02945 v2 · 2017-06-09 · 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{VGNIPVGLTNTREUQWXASIER6JYX}

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	2026-07-05T00:44:15.589224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99a87d4cb9b67125216b8248247c9c5defed30e003cc8cd827a41eabdf898bf

Aliases

arxiv: 1706.02945 · arxiv_version: 1706.02945v2 · doi: 10.48550/arxiv.1706.02945 · pith_short_12: VGNIPVGLTNTR · pith_short_16: VGNIPVGLTNTREUQW · pith_short_8: VGNIPVGL

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/VGNIPVGLTNTREUQWXASIER6JYX \
  | 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: a99a87d4cb9b67125216b8248247c9c5defed30e003cc8cd827a41eabdf898bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f8fa98498edb18dc3a51c559c2a6065202771e3f5b27882da54034647595d8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-06-09T13:39:44Z",
    "title_canon_sha256": "04b3360520548090ed30392208434bdce01838ffc0ab2a5c95e3415d055f1dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02945",
    "kind": "arxiv",
    "version": 2
  }
}