Pith Number

pith:HQFFSBTN

pith:2020:HQFFSBTN6PBIVXHX76DGU6RSYR

not attested not anchored not stored refs pending

Mapping Spaces for DG Hopf Cooperads and Homotopy Automorphisms of the Rationalization of $E_n$-operads

Benoit Fresse, Thomas Willwacher

arxiv:2003.02939 v1 · 2020-03-05 · 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{HQFFSBTN6PBIVXHX76DGU6RSYR}

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.

Cited by

1 paper in Pith

Homotopy Frobenius structures on the cohomology of a manifold

Receipt and verification

First computed	2026-07-05T00:46:08.349744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c0a59066df3c28adcf7ff866a7a32c46d239cd1861e920885c81bca6bad1757

Aliases

arxiv: 2003.02939 · arxiv_version: 2003.02939v1 · doi: 10.48550/arxiv.2003.02939 · pith_short_12: HQFFSBTN6PBI · pith_short_16: HQFFSBTN6PBIVXHX · pith_short_8: HQFFSBTN

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/HQFFSBTN6PBIVXHX76DGU6RSYR \
  | 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: 3c0a59066df3c28adcf7ff866a7a32c46d239cd1861e920885c81bca6bad1757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55312acf14884b0cf7f9ea7f397cf4c1aa9729afcb2125bde719898b7fd9fab9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-03-05T21:39:09Z",
    "title_canon_sha256": "3dc64994ac27eded377268d370d155fa62f1eb0b7785ce3454371087a3e25309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.02939",
    "kind": "arxiv",
    "version": 1
  }
}