Pith Number

pith:7UMBJAYJ

pith:2011:7UMBJAYJB2TZWJW637B53NTCXT

not attested not anchored not stored refs pending

Every K(n)-local spectrum is the homotopy fixed points of its Morava module

Daniel G. Davis, Takeshi Torii

arxiv:1101.5201 v1 · 2011-01-27 · 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{7UMBJAYJB2TZWJW637B53NTCXT}

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	2026-05-18T04:30:35.942009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd181483090ea79b26dedfc3ddb662bcd635e559ee65ca4166a6510c2034879e

Aliases

arxiv: 1101.5201 · arxiv_version: 1101.5201v1 · doi: 10.48550/arxiv.1101.5201 · pith_short_12: 7UMBJAYJB2TZ · pith_short_16: 7UMBJAYJB2TZWJW6 · pith_short_8: 7UMBJAYJ

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/7UMBJAYJB2TZWJW637B53NTCXT \
  | 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: fd181483090ea79b26dedfc3ddb662bcd635e559ee65ca4166a6510c2034879e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a13ec3581eaae3eee1093c02081061c5485aad876fef3b27080f297516187e53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-27T03:07:33Z",
    "title_canon_sha256": "1797234a96dc40ab81ca72549a39f9ef4af3857289fbc1db6e64d75285a11b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5201",
    "kind": "arxiv",
    "version": 1
  }
}