Pith Number

pith:WJWH2OSS

pith:2014:WJWH2OSS5CVLU5AGVMMN625JG3

not attested not anchored not stored refs pending

On the K-theory of truncated polynomial rings in non-commuting variables

Vigleik Angeltveit

arxiv:1409.4157 v1 · 2014-09-15 · math.KT · math.AG · 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{WJWH2OSS5CVLU5AGVMMN625JG3}

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	2026-05-18T00:44:28.812153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26c7d3a52e8aaba7406ab18df6ba936fff6d6dc693ffa389b5bfaa4725c2786

Aliases

arxiv: 1409.4157 · arxiv_version: 1409.4157v1 · doi: 10.48550/arxiv.1409.4157 · pith_short_12: WJWH2OSS5CVL · pith_short_16: WJWH2OSS5CVLU5AG · pith_short_8: WJWH2OSS

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/WJWH2OSS5CVLU5AGVMMN625JG3 \
  | 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: b26c7d3a52e8aaba7406ab18df6ba936fff6d6dc693ffa389b5bfaa4725c2786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed7decbdbf6b4e9b391196c433cf8288239cdbf6cf03409586aec472a2723e4",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-09-15T04:49:48Z",
    "title_canon_sha256": "a5797b4ab7df73a9976e066f698c11e65b183aefb3126adda81be75fbc077982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4157",
    "kind": "arxiv",
    "version": 1
  }
}