Pith Number

pith:LU67S35A

pith:2019:LU67S35AMY72CUZCD3BVXYGPSC

not attested not anchored not stored refs pending

Homotopy invariance of convolution products

Stefan Schwede, Steffen Sagave

arxiv:1907.05188 v2 · 2019-07-11 · 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{LU67S35AMY72CUZCD3BVXYGPSC}

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	2026-07-05T02:34:37.046400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3df96fa0663fa153221ec35be0cf908c6a299783df7b2128333a0ae2025d11

Aliases

arxiv: 1907.05188 · arxiv_version: 1907.05188v2 · doi: 10.48550/arxiv.1907.05188 · pith_short_12: LU67S35AMY72 · pith_short_16: LU67S35AMY72CUZC · pith_short_8: LU67S35A

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/LU67S35AMY72CUZCD3BVXYGPSC \
  | 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: 5d3df96fa0663fa153221ec35be0cf908c6a299783df7b2128333a0ae2025d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c1ab1a1ed36727017aa9bdd0fad2bd8fbd797635ccc610968177e738a170d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-11T13:39:08Z",
    "title_canon_sha256": "ce5205d4ce9cd5c58d4c58289408124d1629a6768aeb9bd626aa75c2952bc508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05188",
    "kind": "arxiv",
    "version": 2
  }
}