Pith Number

pith:TOWO4KGF

pith:2015:TOWO4KGF437TKSAOQ6VSPJ7CI3

not attested not anchored not stored refs pending

The Yoneda isomorphism commutes with homology

George Peschke, Tim Van der Linden

arxiv:1505.05406 v2 · 2015-05-20 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOWO4KGF437TKSAOQ6VSPJ7CI3}

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	2026-05-18T00:31:05.681131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051

Aliases

arxiv: 1505.05406 · arxiv_version: 1505.05406v2 · doi: 10.48550/arxiv.1505.05406 · pith_short_12: TOWO4KGF437T · pith_short_16: TOWO4KGF437TKSAO · pith_short_8: TOWO4KGF

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/TOWO4KGF437TKSAOQ6VSPJ7CI3 \
  | 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: 9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23739275eb2ab3610fabf70e6131583d362fdbcae889aca877cf1e059b3d98ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-05-20T14:46:26Z",
    "title_canon_sha256": "9a676c34cea30d099ca360e3fc1ec1bfe5ad52cfa1c2b0e09857434795663dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05406",
    "kind": "arxiv",
    "version": 2
  }
}