Pith Number

pith:SM34JB52

pith:2012:SM34JB52OU6R7HK6BZUM4CYWSQ

not attested not anchored not stored refs pending

Connective algebraic K-theory

Marc Levine, Shouxin Dai

arxiv:1212.0228 v1 · 2012-12-02 · 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{SM34JB52OU6R7HK6BZUM4CYWSQ}

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	2026-05-18T03:39:26.805683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9337c487ba753d1f9d5e0e68ce0b1694218879e9c14547258250d930aab74807

Aliases

arxiv: 1212.0228 · arxiv_version: 1212.0228v1 · doi: 10.48550/arxiv.1212.0228 · pith_short_12: SM34JB52OU6R · pith_short_16: SM34JB52OU6R7HK6 · pith_short_8: SM34JB52

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/SM34JB52OU6R7HK6BZUM4CYWSQ \
  | 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: 9337c487ba753d1f9d5e0e68ce0b1694218879e9c14547258250d930aab74807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015a6d0dcd16fca1cb2edffa4119ada27161af3ba405ccb70f0515f55561b758",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-12-02T17:32:44Z",
    "title_canon_sha256": "3c1e8d54ceba816b61ff5b5bfd0fd4c8e33443c4ea1d42bc5171286b662f1090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0228",
    "kind": "arxiv",
    "version": 1
  }
}