Pith Number

pith:ZNSRFT4R

pith:2026:ZNSRFT4RBVQGJ477OJ763URRFQ

not attested not anchored not stored refs pending

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces

Catherine Li

arxiv:2607.18670 v1 · 2026-07-21 · 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{ZNSRFT4RBVQGJ477OJ763URRFQ}

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	2026-07-22T01:23:05.857138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6512cf910d6064f3ff727fedd2312c2c6daa275dcbc7a9d6015ecc6f3bbe8a

Aliases

arxiv: 2607.18670 · arxiv_version: 2607.18670v1 · doi: 10.48550/arxiv.2607.18670 · pith_short_12: ZNSRFT4RBVQG · pith_short_16: ZNSRFT4RBVQGJ477 · pith_short_8: ZNSRFT4R

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/ZNSRFT4RBVQGJ477OJ763URRFQ \
  | 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: cb6512cf910d6064f3ff727fedd2312c2c6daa275dcbc7a9d6015ecc6f3bbe8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a376b27d39e56d0bb612ae2c1c905bb9e8e5fed67db10d770ef433ef8bfcf980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-21T03:39:48Z",
    "title_canon_sha256": "51cf64e7024769284885f503f7f48a5608dab46a040e4eea9f48d754e01fd923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18670",
    "kind": "arxiv",
    "version": 1
  }
}