Pith Number

pith:I3ZHJ5LZ

pith:2007:I3ZHJ5LZQNKHROVALS73WLD375

not attested not anchored not stored refs pending

On the relation of Voevodsky's algebraic cobordism to Quillen's K-theory

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

arxiv:0709.4124 v1 · 2007-09-26 · math.AG · 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{I3ZHJ5LZQNKHROVALS73WLD375}

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	2026-07-04T17:05:52.557633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f274f579835478baa05cbfbb2c7bff736a9efeeab0128479afb8ba0a99bba6

Aliases

arxiv: 0709.4124 · arxiv_version: 0709.4124v1 · doi: 10.48550/arxiv.0709.4124 · pith_short_12: I3ZHJ5LZQNKH · pith_short_16: I3ZHJ5LZQNKHROVA · pith_short_8: I3ZHJ5LZ

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/I3ZHJ5LZQNKHROVALS73WLD375 \
  | 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: 46f274f579835478baa05cbfbb2c7bff736a9efeeab0128479afb8ba0a99bba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d74bcd11c75d9f6874c958c7484f00033acb1707f2049ba6e45a92146341d0",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-26T10:32:03Z",
    "title_canon_sha256": "2cfa03c910bed88b49eaf6c1884a88ec000303d5c1327e9d1b39246e737ca29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4124",
    "kind": "arxiv",
    "version": 1
  }
}