Pith Number

pith:LAK5QW4V

pith:2007:LAK5QW4VFC5QEIMCGI4VXNX2XH

not attested not anchored not stored refs pending

On Voevodsky's algebraic K-theory spectrum BGL

I. Panin, K. Pimenov, O. R\"ondigs

arxiv:0709.3905 v2 · 2007-09-25 · 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{LAK5QW4VFC5QEIMCGI4VXNX2XH}

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	2026-07-04T15:15:24.564913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5815d85b9528bb02218232395bb6fab9fcf54a287f966722c457e940daf2e0ae

Aliases

arxiv: 0709.3905 · arxiv_version: 0709.3905v2 · doi: 10.48550/arxiv.0709.3905 · pith_short_12: LAK5QW4VFC5Q · pith_short_16: LAK5QW4VFC5QEIMC · pith_short_8: LAK5QW4V

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/LAK5QW4VFC5QEIMCGI4VXNX2XH \
  | 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: 5815d85b9528bb02218232395bb6fab9fcf54a287f966722c457e940daf2e0ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e75828d3d7f198aa76ee73df80690840e36311e45f1a08bc1efd6dd5eff153",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-25T10:04:42Z",
    "title_canon_sha256": "db33a816a206d5e69fe87aa7bfdfd89d3be212450b0924f52fa5c7d629c7b1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3905",
    "kind": "arxiv",
    "version": 2
  }
}