Pith Number

pith:OZ3L7UFG

pith:2026:OZ3L7UFGTMZBIG5NH3R27WFVLM

not attested not anchored not stored refs pending

Cyclotomic extensions in stable homotopy theory

Douglas C. Ravenel

arxiv:2606.08166 v1 · 2026-06-06 · 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{OZ3L7UFGTMZBIG5NH3R27WFVLM}

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	2026-06-09T01:05:28.778062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7676bfd0a69b32141bad3ee3afd8b55b02da5e64b88906f36edc80e7c6bb16a9

Aliases

arxiv: 2606.08166 · arxiv_version: 2606.08166v1 · doi: 10.48550/arxiv.2606.08166 · pith_short_12: OZ3L7UFGTMZB · pith_short_16: OZ3L7UFGTMZBIG5N · pith_short_8: OZ3L7UFG

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/OZ3L7UFGTMZBIG5NH3R27WFVLM \
  | 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: 7676bfd0a69b32141bad3ee3afd8b55b02da5e64b88906f36edc80e7c6bb16a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94a2024deb1b39f017c226a719c12c42ed37afa8154425c04dc9c32f3599dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-06T13:29:41Z",
    "title_canon_sha256": "3380b9760d7ac1663ba18b5de531a2348c3de75e8d05473e1e30ad77bc646848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08166",
    "kind": "arxiv",
    "version": 1
  }
}