Pith Number

pith:YGXECO7Q

pith:2002:YGXECO7QSR73WOBBRSK5HMETB7

not attested not anchored not stored refs pending

The Hilton-Eckmann argument for cup-products

Mariano Suarez-Alvarez

arxiv:math/0209029 v1 · 2002-09-03 · math.KT · 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{YGXECO7QSR73WOBBRSK5HMETB7}

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	2026-05-18T00:09:20.669736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ae413bf0947fbb38218c95d3b0930fc7d9254e056fcfeb2d281be01c181ce2

Aliases

arxiv: math/0209029 · arxiv_version: math/0209029v1 · doi: 10.48550/arxiv.math/0209029 · pith_short_12: YGXECO7QSR73 · pith_short_16: YGXECO7QSR73WOBB · pith_short_8: YGXECO7Q

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/YGXECO7QSR73WOBBRSK5HMETB7 \
  | 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: c1ae413bf0947fbb38218c95d3b0930fc7d9254e056fcfeb2d281be01c181ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6ef996b8760eb0ed3a640500e2e7c4df6565ed81481562f1bf1d882ec48055",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2002-09-03T22:54:05Z",
    "title_canon_sha256": "67ddc28c8abfd8f21a8083855c64f854e72643218b058086ab64a6022a9eab5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209029",
    "kind": "arxiv",
    "version": 1
  }
}