Pith Number

pith:FHJ2TBYJ

pith:2010:FHJ2TBYJXJXVBNKBO4BYF42HXJ

not attested not anchored not stored refs pending

Ossa's Theorem via the Kunneth formula

Khairia Mira, Laura Stanley, Robert Bruner, Victor Snaith

arxiv:1008.0166 v1 · 2010-08-01 · 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{FHJ2TBYJXJXVBNKBO4BYF42HXJ}

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	2026-05-18T04:42:43.908569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d3a98709ba6f50b541770382f347ba4384371bf77d0877ac72f94c23b18baa

Aliases

arxiv: 1008.0166 · arxiv_version: 1008.0166v1 · doi: 10.48550/arxiv.1008.0166 · pith_short_12: FHJ2TBYJXJXV · pith_short_16: FHJ2TBYJXJXVBNKB · pith_short_8: FHJ2TBYJ

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/FHJ2TBYJXJXVBNKBO4BYF42HXJ \
  | 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: 29d3a98709ba6f50b541770382f347ba4384371bf77d0877ac72f94c23b18baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ef75c4d809516da273bde0b749a23d68c8644817b1b204514fbbfab642f26f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-08-01T11:16:27Z",
    "title_canon_sha256": "05271fd00c2df0f64d069fa9f61a111fe1122141322b4fde8ac17f47bc559d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0166",
    "kind": "arxiv",
    "version": 1
  }
}