Pith Number

pith:HQCWS3FY

pith:2008:HQCWS3FY4HZAYJCNLOFNPUFR4Q

not attested not anchored not stored refs pending

Localization theorems in topological Hochschild homology and topological cyclic homology

Andrew J. Blumberg, Michael A. Mandell

arxiv:0802.3938 v4 · 2008-02-27 · 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{HQCWS3FY4HZAYJCNLOFNPUFR4Q}

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	2026-05-18T02:38:19.181377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c05696cb8e1f20c244d5b8ad7d0b1e43ec037848054f7648375c698d3868f8f

Aliases

arxiv: 0802.3938 · arxiv_version: 0802.3938v4 · doi: 10.48550/arxiv.0802.3938 · pith_short_12: HQCWS3FY4HZA · pith_short_16: HQCWS3FY4HZAYJCN · pith_short_8: HQCWS3FY

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/HQCWS3FY4HZAYJCNLOFNPUFR4Q \
  | 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: 3c05696cb8e1f20c244d5b8ad7d0b1e43ec037848054f7648375c698d3868f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a91e64f5f70f4c26899020a5071952c71a83147ce96224b0af17dc59511772c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-02-27T01:03:20Z",
    "title_canon_sha256": "1473864be64bd7cc837e10fb4860e0c352d39ea20fa68ca5eb42c115035c7368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3938",
    "kind": "arxiv",
    "version": 4
  }
}