Pith Number

pith:FN7J7IWD

pith:2012:FN7J7IWDLNITSQJWFMWP5DMPKT

not attested not anchored not stored refs pending

Rings of power operations for Morava E-theories are Koszul

Charles Rezk

arxiv:1204.4831 v2 · 2012-04-21 · 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{FN7J7IWDLNITSQJWFMWP5DMPKT}

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	2026-05-18T00:40:16.710125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7e9fa2c35b513941362b2cfe8d8f54f9e534a73974791d4ec6361fdfeb9772

Aliases

arxiv: 1204.4831 · arxiv_version: 1204.4831v2 · doi: 10.48550/arxiv.1204.4831 · pith_short_12: FN7J7IWDLNIT · pith_short_16: FN7J7IWDLNITSQJW · pith_short_8: FN7J7IWD

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/FN7J7IWDLNITSQJWFMWP5DMPKT \
  | 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: 2b7e9fa2c35b513941362b2cfe8d8f54f9e534a73974791d4ec6361fdfeb9772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94350fa80eca93764476e64cadfc200e7826f9e16ea6b6c556a24dfc2e54049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-21T18:44:53Z",
    "title_canon_sha256": "c794a66ac79ca784258d6a0628b26c110fc9ab9153e8a6e373e4c345d3bc0cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4831",
    "kind": "arxiv",
    "version": 2
  }
}