Pith Number

pith:EMMYCP3C

pith:2016:EMMYCP3C3ARYBW3LK3NMVC62TJ

not attested not anchored not stored refs pending

A Bott periodicity proof for real graded $C^\ast$-algebras

Sarah L. Browne

arxiv:1611.09887 v2 · 2016-11-29 · math.KT · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMMYCP3C3ARYBW3LK3NMVC62TJ}

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	2026-05-18T00:31:23.976726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2319813f62d82380db6b56daca8bda9a423a9a109687227091b3528aaafeaad3

Aliases

arxiv: 1611.09887 · arxiv_version: 1611.09887v2 · doi: 10.48550/arxiv.1611.09887 · pith_short_12: EMMYCP3C3ARY · pith_short_16: EMMYCP3C3ARYBW3L · pith_short_8: EMMYCP3C

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/EMMYCP3C3ARYBW3LK3NMVC62TJ \
  | 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: 2319813f62d82380db6b56daca8bda9a423a9a109687227091b3528aaafeaad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3555ea4f96f7c523cb9fcfe3155e3343a97a3aad8ed4591defa2f8d47b0e8846",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-11-29T21:21:33Z",
    "title_canon_sha256": "f62f8565cca750067baac536b39e3218a5e5f19f973cc7ec9c25a35613c5b1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09887",
    "kind": "arxiv",
    "version": 2
  }
}