Pith Number

pith:CW2474TZ

pith:2022:CW2474TZCKS6A7IF2D34OKOOV4

not attested not anchored not stored refs pending

An elementary proof of the naturality of the Yoneda embedding

Maxime Ramzi

arxiv:2209.12575 v3 · 2022-09-26 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CW2474TZCKS6A7IF2D34OKOOV4}

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	2026-07-05T06:42:17.572867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b5cff27912a5e07d05d0f7c729ceaf28b0b85cdeaf810c06d6e66328bc4635

Aliases

arxiv: 2209.12575 · arxiv_version: 2209.12575v3 · doi: 10.48550/arxiv.2209.12575 · pith_short_12: CW2474TZCKS6 · pith_short_16: CW2474TZCKS6A7IF · pith_short_8: CW2474TZ

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/CW2474TZCKS6A7IF2D34OKOOV4 \
  | 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: 15b5cff27912a5e07d05d0f7c729ceaf28b0b85cdeaf810c06d6e66328bc4635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0aa8a60082e387c6733fc47e030ce7706991703baa56154ee2ea444b2ae864e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-09-26T10:41:08Z",
    "title_canon_sha256": "44aa0d74e5fea0b1dd2051a61f7269f2dd2023934844da7974f5ba719551cc26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12575",
    "kind": "arxiv",
    "version": 3
  }
}