Pith Number

pith:4P3Q7HDM

pith:2013:4P3Q7HDM4HHZD7YAXPXPDDNPOK

not attested not anchored not stored refs pending

Completed power operations for Morava E-theory

Martin Frankland, Tobias Barthel

arxiv:1311.7123 v3 · 2013-11-27 · math.AT · math.AC · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P3Q7HDM4HHZD7YAXPXPDDNPOK}

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	2026-05-18T01:33:16.850500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f70f9c6ce1cf91ff00bbeef18daf72a774146551b5714ea14da0791065df68

Aliases

arxiv: 1311.7123 · arxiv_version: 1311.7123v3 · doi: 10.48550/arxiv.1311.7123 · pith_short_12: 4P3Q7HDM4HHZ · pith_short_16: 4P3Q7HDM4HHZD7YA · pith_short_8: 4P3Q7HDM

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/4P3Q7HDM4HHZD7YAXPXPDDNPOK \
  | 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: e3f70f9c6ce1cf91ff00bbeef18daf72a774146551b5714ea14da0791065df68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ea3d628eaa0367c1fa7524e977bc8f3b50b6f7f201d963f0345340feae8c06",
    "cross_cats_sorted": [
      "math.AC",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-27T20:49:10Z",
    "title_canon_sha256": "14e0d95114517236daed3dfa103841a78b0b1c19ae614bc055b520186f88e00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7123",
    "kind": "arxiv",
    "version": 3
  }
}