Pith Number

pith:QTKTMDCF

pith:2011:QTKTMDCFEFDMSCSMPCU4J5JU4M

not attested not anchored not stored refs pending

An algebraic model for rational torus-equivariant spectra

B.Shipley, J.P.C.Greenlees

arxiv:1101.2511 v6 · 2011-01-13 · 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{QTKTMDCFEFDMSCSMPCU4J5JU4M}

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	2026-05-18T00:11:44.561121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d5360c452146c90a4c78a9c4f534e31ba26c1c20bcd60a805f46a847245400

Aliases

arxiv: 1101.2511 · arxiv_version: 1101.2511v6 · doi: 10.48550/arxiv.1101.2511 · pith_short_12: QTKTMDCFEFDM · pith_short_16: QTKTMDCFEFDMSCSM · pith_short_8: QTKTMDCF

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/QTKTMDCFEFDMSCSMPCU4J5JU4M \
  | 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: 84d5360c452146c90a4c78a9c4f534e31ba26c1c20bcd60a805f46a847245400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1da510646f74a47d88160d05f3b9011e78da0dd67aab40bee64fa11bbffc46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-13T09:30:49Z",
    "title_canon_sha256": "7d71716bb7d3a2fd0c30474fab885aef15d6b1384d181376d30035b842401924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2511",
    "kind": "arxiv",
    "version": 6
  }
}