Pith Number

pith:EMI3J3VL

pith:2009:EMI3J3VLPUIMVJ76QWMOPDFU2Y

not attested not anchored not stored refs pending

Duality, correspondences and the Lefschetz map in equivariant KK-theory: a survey

Heath Emerson

arxiv:0904.4744 v4 · 2009-04-30 · math.KT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMI3J3VLPUIMVJ76QWMOPDFU2Y}

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	2026-05-18T04:40:20.645340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2311b4eeab7d10caa7fe8598e78cb4d6161eb42b045154b89e08beb51a83f3d3

Aliases

arxiv: 0904.4744 · arxiv_version: 0904.4744v4 · doi: 10.48550/arxiv.0904.4744 · pith_short_12: EMI3J3VLPUIM · pith_short_16: EMI3J3VLPUIMVJ76 · pith_short_8: EMI3J3VL

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/EMI3J3VLPUIMVJ76QWMOPDFU2Y \
  | 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: 2311b4eeab7d10caa7fe8598e78cb4d6161eb42b045154b89e08beb51a83f3d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677d9f71a3318147a32239cb4645bf2d0358d9e7573ae8eaee993e093466c37e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-04-30T05:58:47Z",
    "title_canon_sha256": "d81a2f276077b194d625a381b42b6e19aae580ba6f06ed0871e3886332078bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4744",
    "kind": "arxiv",
    "version": 4
  }
}