Pith Number

pith:3JVKQ37S

pith:2017:3JVKQ37S24K5ZECZ4KX7E72MPU

not attested not anchored not stored refs pending

The Morita equivalence between parametrized spectra and module spectra

Cary Malkiewich, John A. Lind

arxiv:1702.07794 v2 · 2017-02-24 · 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{3JVKQ37S24K5ZECZ4KX7E72MPU}

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	2026-05-18T00:34:15.400979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6aa86ff2d715dc9059e2aff27f4c7d0f17d4807581da0eac0dcd6d619791d0

Aliases

arxiv: 1702.07794 · arxiv_version: 1702.07794v2 · doi: 10.48550/arxiv.1702.07794 · pith_short_12: 3JVKQ37S24K5 · pith_short_16: 3JVKQ37S24K5ZECZ · pith_short_8: 3JVKQ37S

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/3JVKQ37S24K5ZECZ4KX7E72MPU \
  | 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: da6aa86ff2d715dc9059e2aff27f4c7d0f17d4807581da0eac0dcd6d619791d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0126a0330984aba457948b731d85084ae043734d36a419aeb885355eef5545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-02-24T22:51:19Z",
    "title_canon_sha256": "01208a7594a592f2fd86e3b5da476a60a90b33b17f08c99fa4e17a8cb90dbdf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07794",
    "kind": "arxiv",
    "version": 2
  }
}