Pith Number

pith:4GOC5T5O

pith:2009:4GOC5T5OGSBRNRGPFQ56SUFV77

not attested not anchored not stored refs pending

Bott periodicity and stable quantum classes

Yasha Savelyev

arxiv:0912.2948 v6 · 2009-12-15 · math.SG · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GOC5T5OGSBRNRGPFQ56SUFV77}

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	2026-05-18T03:40:25.979019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19c2ecfae348316c4cf2c3be950b5ffdf325e9ed5a8c0acbe943a19817d4cfd

Aliases

arxiv: 0912.2948 · arxiv_version: 0912.2948v6 · doi: 10.48550/arxiv.0912.2948 · pith_short_12: 4GOC5T5OGSBR · pith_short_16: 4GOC5T5OGSBRNRGP · pith_short_8: 4GOC5T5O

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/4GOC5T5OGSBRNRGPFQ56SUFV77 \
  | 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: e19c2ecfae348316c4cf2c3be950b5ffdf325e9ed5a8c0acbe943a19817d4cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a1909d3845012a657f58e596109f9ad3bc0efd017be52a269078551641ddda",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-12-15T16:53:34Z",
    "title_canon_sha256": "c3161b3780b3cfd29b0d6259b56a7faff9dda2fcde82f1fd87ecc1375446b868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2948",
    "kind": "arxiv",
    "version": 6
  }
}