Pith Number

pith:EKHV4SZR

pith:2016:EKHV4SZRCB7PQA4UNBSOHWCFIV

not attested not anchored not stored refs pending

A canonical lift of Frobenius in Morava E-theory

Nathaniel Stapleton

arxiv:1603.04811 v1 · 2016-03-15 · 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{EKHV4SZRCB7PQA4UNBSOHWCFIV}

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	2026-05-18T01:19:03.939628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228f5e4b31107ef803946864e3d845454fe73b5d3bc1723fe4bbc09432246cf9

Aliases

arxiv: 1603.04811 · arxiv_version: 1603.04811v1 · doi: 10.48550/arxiv.1603.04811 · pith_short_12: EKHV4SZRCB7P · pith_short_16: EKHV4SZRCB7PQA4U · pith_short_8: EKHV4SZR

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/EKHV4SZRCB7PQA4UNBSOHWCFIV \
  | 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: 228f5e4b31107ef803946864e3d845454fe73b5d3bc1723fe4bbc09432246cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64dfed783cdbf3f4bedfefd70a88340c7358719e8da73bf75c42112a13cc99ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-15T18:45:57Z",
    "title_canon_sha256": "84058c5a2981fb93377a029510dc03b1d5bd3bd4c339b5eb036484bcbbf21d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04811",
    "kind": "arxiv",
    "version": 1
  }
}