Pith Number

pith:NTKHPUEI

pith:2007:NTKHPUEIWKOOLOCMXTQC3VWOUA

not attested not anchored not stored refs pending

Dualities in equivariant Kasparov theory

Heath Emerson, Ralf Meyer

arxiv:0711.0025 v3 · 2007-10-31 · 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{NTKHPUEIWKOOLOCMXTQC3VWOUA}

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	2026-05-18T04:23:13.538043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd477d088b29ce5b84cbce02dd6cea0209ec9874d7f74a7288caaaf56676247

Aliases

arxiv: 0711.0025 · arxiv_version: 0711.0025v3 · doi: 10.48550/arxiv.0711.0025 · pith_short_12: NTKHPUEIWKOO · pith_short_16: NTKHPUEIWKOOLOCM · pith_short_8: NTKHPUEI

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/NTKHPUEIWKOOLOCMXTQC3VWOUA \
  | 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: 6cd477d088b29ce5b84cbce02dd6cea0209ec9874d7f74a7288caaaf56676247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4489e5823cff6dd010012fbbe3af9198a6157263cec0059c4c57e72f47244b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-10-31T22:25:48Z",
    "title_canon_sha256": "5e5ed6591a77cba2982d2b5efedf818593889dcce7783913e1409ae46f04abba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0025",
    "kind": "arxiv",
    "version": 3
  }
}