Pith Number

pith:C5Q6EVJH

pith:2007:C5Q6EVJHVMBSP52RWVM3LRE6U4

not attested not anchored not stored refs pending

Landweber exact formal group laws and smooth cohomology theories

Ingo Schroeder (Georg-August-Universit\"at G\"ottingen), Moritz Wiethaup (Georg-August-Universit\"at G\"ottingen), Thomas Schick (Georg-August-Universit\"at G\"ottingen), Ulrich Bunke (Regensburg)

arxiv:0711.1134 v6 · 2007-11-07 · math.KT · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5Q6EVJHVMBSP52RWVM3LRE6U4}

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	2026-05-18T02:41:51.872255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1761e25527ab0327f751b559b5c49ea7387a80b67cebc5943bbecaa039a66135

Aliases

arxiv: 0711.1134 · arxiv_version: 0711.1134v6 · doi: 10.48550/arxiv.0711.1134 · pith_short_12: C5Q6EVJHVMBS · pith_short_16: C5Q6EVJHVMBSP52R · pith_short_8: C5Q6EVJH

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/C5Q6EVJHVMBSP52RWVM3LRE6U4 \
  | 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: 1761e25527ab0327f751b559b5c49ea7387a80b67cebc5943bbecaa039a66135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295dee0cf290d14c10adc7b416de69ddacceb3094edd51a856ad8eda29dd6150",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-11-07T18:24:37Z",
    "title_canon_sha256": "928ff95128dfa5d720b3e39e974312ab9a242061c6ede0bfd265abd32c433e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1134",
    "kind": "arxiv",
    "version": 6
  }
}