Pith Number

pith:5IK4KVTN

pith:2010:5IK4KVTNTVXENXCPMELMLZ27CG

not attested not anchored not stored refs pending

On the motivic commutative ring spectrum BO

Charles Walter, Ivan Panin

arxiv:1011.0650 v2 · 2010-11-02 · 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{5IK4KVTNTVXENXCPMELMLZ27CG}

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	2026-05-18T00:21:38.272661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea15c5566d9d6e46dc4f6116c5e75f118a29c80b3680a25ff3df30b688e79cb0

Aliases

arxiv: 1011.0650 · arxiv_version: 1011.0650v2 · doi: 10.48550/arxiv.1011.0650 · pith_short_12: 5IK4KVTNTVXE · pith_short_16: 5IK4KVTNTVXENXCP · pith_short_8: 5IK4KVTN

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/5IK4KVTNTVXENXCPMELMLZ27CG \
  | 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: ea15c5566d9d6e46dc4f6116c5e75f118a29c80b3680a25ff3df30b688e79cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9308af56e983da8787f810d11f2bb2b4b3019458ae9fe76a0fcc26589935a9",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-02T15:51:15Z",
    "title_canon_sha256": "0604647c296ebf7974214d11dfb35386b36a8452d399424ea4304494f79d5f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0650",
    "kind": "arxiv",
    "version": 2
  }
}