Pith Number

pith:SMQRII2P

pith:2009:SMQRII2P6EMSPKSSKXLTEIXLZC

not attested not anchored not stored refs pending

Multiplicative properties of Quinn spectra

Gerd Laures, James E. McClure

arxiv:0907.2367 v2 · 2009-07-14 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMQRII2P6EMSPKSSKXLTEIXLZC}

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	2026-05-18T04:27:03.781284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

932114234ff11927aa5255d73222ebc8916e91e171428c877c278c2d0f67aa88

Aliases

arxiv: 0907.2367 · arxiv_version: 0907.2367v2 · doi: 10.48550/arxiv.0907.2367 · pith_short_12: SMQRII2P6EMS · pith_short_16: SMQRII2P6EMSPKSS · pith_short_8: SMQRII2P

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/SMQRII2P6EMSPKSSKXLTEIXLZC \
  | 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: 932114234ff11927aa5255d73222ebc8916e91e171428c877c278c2d0f67aa88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb47a49ce351a9a33273e869be90d0934c8df063f13a5d8445556085d55e840",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-07-14T14:20:23Z",
    "title_canon_sha256": "275716ed8745d8f7f619b28e621003810d883aaafdd69b162f52bd7501fe0c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2367",
    "kind": "arxiv",
    "version": 2
  }
}