Pith Number

pith:VI3LQDR7

pith:2009:VI3LQDR77BTISZHB2ZFOQXMMSI

not attested not anchored not stored refs pending

On the algebraic K-theory of the coordinate axes over the integers

Teena Gerhardt, Vigleik Angeltveit

arxiv:0909.4287 v2 · 2009-09-23 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VI3LQDR77BTISZHB2ZFOQXMMSI}

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	2026-05-18T04:20:14.795145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa36b80e3ff8668964e1d64ae85d8c922802c1f89103356bf66516305307de95

Aliases

arxiv: 0909.4287 · arxiv_version: 0909.4287v2 · doi: 10.48550/arxiv.0909.4287 · pith_short_12: VI3LQDR77BTI · pith_short_16: VI3LQDR77BTISZHB · pith_short_8: VI3LQDR7

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/VI3LQDR77BTISZHB2ZFOQXMMSI \
  | 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: aa36b80e3ff8668964e1d64ae85d8c922802c1f89103356bf66516305307de95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eed3ecf4d602eb6f4a8aadc49e946cd5a48714afe3b9c0f826a2885568cd1b4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-09-23T19:51:57Z",
    "title_canon_sha256": "4e192590f949f12736828aaa3be0e80b7d85ba454961e443da6eefae6f1584dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4287",
    "kind": "arxiv",
    "version": 2
  }
}