Pith Number

pith:6UI6IDKM

pith:2012:6UI6IDKMLWOXDDCRYWQDJEEJQA

not attested not anchored not stored refs pending

Upper triangular matrices and operations in odd primary connective K-theory

Laura Stanley, Sarah Whitehouse

arxiv:1204.4033 v1 · 2012-04-18 · 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{6UI6IDKMLWOXDDCRYWQDJEEJQA}

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	2026-05-18T03:57:37.921401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f511e40d4c5d9d718c51c5a0349089800733f5b02cba85aa77e7df60ee49bc34

Aliases

arxiv: 1204.4033 · arxiv_version: 1204.4033v1 · doi: 10.48550/arxiv.1204.4033 · pith_short_12: 6UI6IDKMLWOX · pith_short_16: 6UI6IDKMLWOXDDCR · pith_short_8: 6UI6IDKM

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/6UI6IDKMLWOXDDCRYWQDJEEJQA \
  | 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: f511e40d4c5d9d718c51c5a0349089800733f5b02cba85aa77e7df60ee49bc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9734fab1fb954a34c5e9a07fa0df73a3381daa0c53d4860bcdefbd5542037bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-18T10:15:27Z",
    "title_canon_sha256": "d873f087a882f36d39183efea7bc564b644897f02fa5ee963a98094167f76b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4033",
    "kind": "arxiv",
    "version": 1
  }
}