Pith Number

pith:YKWR7GW2

pith:2018:YKWR7GW2X7JKXA6CTDB4X3BW5C

not attested not anchored not stored refs pending

An algebraic model for rational naive-commutative ring SO(2)-spectra and equivariant elliptic cohomology

David Barnes, J.P.C. Greenlees, Magdalena Kedziorek

arxiv:1810.03632 v1 · 2018-10-08 · 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{YKWR7GW2X7JKXA6CTDB4X3BW5C}

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	2026-05-18T00:03:44.812500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ad1f9adabfd2ab83c298c3cbec36e8b890d486f61dc9f4ca8d482de4f87b99

Aliases

arxiv: 1810.03632 · arxiv_version: 1810.03632v1 · doi: 10.48550/arxiv.1810.03632 · pith_short_12: YKWR7GW2X7JK · pith_short_16: YKWR7GW2X7JKXA6C · pith_short_8: YKWR7GW2

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/YKWR7GW2X7JKXA6CTDB4X3BW5C \
  | 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: c2ad1f9adabfd2ab83c298c3cbec36e8b890d486f61dc9f4ca8d482de4f87b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2275190f1594d320928583c72bb4b9a96c85b5ccd77d3245f385d666cd20f1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-10-08T18:01:11Z",
    "title_canon_sha256": "b74d9f73e4f4c1a1382400a0d0c9b0b25269a65fedac692fd3f43b11a4843b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03632",
    "kind": "arxiv",
    "version": 1
  }
}