Pith Number

pith:NNOH2OQA

pith:2009:NNOH2OQAS6H7YEXZ5MMOBTA3TG

not attested not anchored not stored refs pending

Derived Koszul Duality and Involutions in the Algebraic K-Theory of Spaces

Andrew J. Blumberg, Michael A. Mandell

arxiv:0912.1670 v2 · 2009-12-09 · math.KT · 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{NNOH2OQAS6H7YEXZ5MMOBTA3TG}

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	2026-05-18T02:58:02.570027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5c7d3a00978ffc12f9eb18e0cc1b99b2c3a2b7bd6510a60f3d5ea5d13ddff2

Aliases

arxiv: 0912.1670 · arxiv_version: 0912.1670v2 · doi: 10.48550/arxiv.0912.1670 · pith_short_12: NNOH2OQAS6H7 · pith_short_16: NNOH2OQAS6H7YEXZ · pith_short_8: NNOH2OQA

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/NNOH2OQAS6H7YEXZ5MMOBTA3TG \
  | 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: 6b5c7d3a00978ffc12f9eb18e0cc1b99b2c3a2b7bd6510a60f3d5ea5d13ddff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b20d17b1c80bd0b34f9e1222366c15fb92e7d0710e7908d3a349b91d99a6498",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-12-09T05:44:34Z",
    "title_canon_sha256": "247a9584b06fd5e4f24a6fd73690efc675e5eae53a3bf67cae6469ba041bf9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1670",
    "kind": "arxiv",
    "version": 2
  }
}