Pith Number

pith:7CN4BQ4M

pith:2011:7CN4BQ4MEU4FM7ZLMGGRKROXND

not attested not anchored not stored refs pending

Twisted Morava K-theory and E-theory

Craig Westerland, Hisham Sati

arxiv:1109.3867 v3 · 2011-09-18 · math.AT · hep-th · 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{7CN4BQ4MEU4FM7ZLMGGRKROXND}

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	2026-05-18T00:44:30.522571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f89bc0c38c2538567f2b618d1545d768fa79f465c8e1b1b217c050c9654e5d9b

Aliases

arxiv: 1109.3867 · arxiv_version: 1109.3867v3 · doi: 10.48550/arxiv.1109.3867 · pith_short_12: 7CN4BQ4MEU4F · pith_short_16: 7CN4BQ4MEU4FM7ZL · pith_short_8: 7CN4BQ4M

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/7CN4BQ4MEU4FM7ZLMGGRKROXND \
  | 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: f89bc0c38c2538567f2b618d1545d768fa79f465c8e1b1b217c050c9654e5d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ac8ca6f0dc0a73a2848630c76c91cb10b7697762fdf9298ea457f89f629662",
    "cross_cats_sorted": [
      "hep-th",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-18T13:04:19Z",
    "title_canon_sha256": "32de4b7203b6e892795f960c42bf1e7469ea2ca619ea3c6b27cc1e48131c3576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3867",
    "kind": "arxiv",
    "version": 3
  }
}