Pith Number

pith:5WARSR6T

pith:2011:5WARSR6TU2B6LRKDSQFCG5GBTI

not attested not anchored not stored refs pending

Milnor K-theory and the graded representation ring

Jan Minac, Pierre Guillot

arxiv:1109.0046 v3 · 2011-08-31 · math.KT · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WARSR6TU2B6LRKDSQFCG5GBTI}

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	2026-05-18T02:50:24.566602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed811947d3a683e5c543940a2374c19a094c4227cda52ea96e35f5ea72c4ed56

Aliases

arxiv: 1109.0046 · arxiv_version: 1109.0046v3 · doi: 10.48550/arxiv.1109.0046 · pith_short_12: 5WARSR6TU2B6 · pith_short_16: 5WARSR6TU2B6LRKD · pith_short_8: 5WARSR6T

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/5WARSR6TU2B6LRKDSQFCG5GBTI \
  | 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: ed811947d3a683e5c543940a2374c19a094c4227cda52ea96e35f5ea72c4ed56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bac15f773cfaadf715a15d7a9a2a01b5339579f309c2c68a716ac361ccafde2",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-08-31T22:23:50Z",
    "title_canon_sha256": "860a030ea9e7cafce60c0c44aa377172283e76dc28026b260d41e6bf54cbce0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0046",
    "kind": "arxiv",
    "version": 3
  }
}