Pith Number

pith:LBM4VTNQ

pith:2019:LBM4VTNQ7VSCYBH4C2VBZWFCTY

not attested not anchored not stored refs pending

The Fulton Mac Pherson operad and the W-construction

Paolo Salvatore

arxiv:1906.07696 v1 · 2019-06-18 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBM4VTNQ7VSCYBH4C2VBZWFCTY}

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	2026-05-17T23:42:59.540048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5859cacdb0fd642c04fc16aa1cd8a29e19dda76f0e379597898b9d24c73849a8

Aliases

arxiv: 1906.07696 · arxiv_version: 1906.07696v1 · doi: 10.48550/arxiv.1906.07696 · pith_short_12: LBM4VTNQ7VSC · pith_short_16: LBM4VTNQ7VSCYBH4 · pith_short_8: LBM4VTNQ

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/LBM4VTNQ7VSCYBH4C2VBZWFCTY \
  | 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: 5859cacdb0fd642c04fc16aa1cd8a29e19dda76f0e379597898b9d24c73849a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb88f7f6a1bf70bbd766e0ccb09ac9eb199840f1e89bee8504d51d3643c7b51",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-06-18T17:16:47Z",
    "title_canon_sha256": "dcf96cc5d8211dd8f6f1cacbfb0d9c4482160a1cce3431abd8bded0455bb53ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07696",
    "kind": "arxiv",
    "version": 1
  }
}