Pith Number

pith:XE6JQT56

pith:2007:XE6JQT56LFLU6YEX7RNI66M5OH

not attested not anchored not stored refs pending

On the Equivalence of Geometric and Analytic K-Homology

Nigel Higson (Penn State University), Paul Baum (Penn State University), Thomas Schick (Georg-August Universit\"at G\"ottingen)

arxiv:math/0701484 v4 · 2007-01-17 · math.KT · math.AT · 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{XE6JQT56LFLU6YEX7RNI66M5OH}

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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	2026-05-17T23:59:44.839956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93c984fbe59574f6097fc5a8f799d71d3e81d2a33d6988c968e2073d52f9ab5

Aliases

arxiv: math/0701484 · arxiv_version: math/0701484v4 · doi: 10.48550/arxiv.math/0701484 · pith_short_12: XE6JQT56LFLU · pith_short_16: XE6JQT56LFLU6YEX · pith_short_8: XE6JQT56

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/XE6JQT56LFLU6YEX7RNI66M5OH \
  | 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: b93c984fbe59574f6097fc5a8f799d71d3e81d2a33d6988c968e2073d52f9ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e630a71e7bebb1a25c708b547f55d05a7592f628d75994eef8d6bd68d1ae318",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-01-17T15:13:22Z",
    "title_canon_sha256": "1e64c2b69b31ee272c707e264da61c53312f18aa8712e5a2b24c6043d92627cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701484",
    "kind": "arxiv",
    "version": 4
  }
}