Pith Number

pith:CUX3PJNY

pith:2015:CUX3PJNYTUCXAFTQG7KPEP2BNL

not attested not anchored not stored refs pending

The slice spectral sequence for the $C_{4}$ analog of real $K$-theory

Douglas C. Ravenel, Michael A. Hill, Michael J. Hopkins

arxiv:1502.07611 v2 · 2015-02-26 · 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{CUX3PJNYTUCXAFTQG7KPEP2BNL}

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	2026-05-18T01:21:23.662988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

152fb7a5b89d0570167037d4f23f416adfad246f42f5ce92b2a4b947a091c592

Aliases

arxiv: 1502.07611 · arxiv_version: 1502.07611v2 · doi: 10.48550/arxiv.1502.07611 · pith_short_12: CUX3PJNYTUCX · pith_short_16: CUX3PJNYTUCXAFTQ · pith_short_8: CUX3PJNY

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/CUX3PJNYTUCXAFTQG7KPEP2BNL \
  | 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: 152fb7a5b89d0570167037d4f23f416adfad246f42f5ce92b2a4b947a091c592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6d60a3d557defe4fe462e1370eaf747bbedabf69ba4ab27ebc2ef5126690e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-26T16:00:55Z",
    "title_canon_sha256": "40bc3d67b3970183f8f7e5dbed81e4ee2184cf39d9fe39441a29a63b93c53762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07611",
    "kind": "arxiv",
    "version": 2
  }
}