Pith Number

pith:N5ZJDCYB

pith:2016:N5ZJDCYB7KBRBHYXCVGLOIA52Y

not attested not anchored not stored refs pending

On the Twisted KK-Theory and Positive Scalar Curvature Problem

Do Ngoc Diep

arxiv:1602.01920 v1 · 2016-02-05 · 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{N5ZJDCYB7KBRBHYXCVGLOIA52Y}

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	2026-05-18T00:44:58.189088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f72918b01fa83109f17154cb7201dd63db16e6071bf183ed79b8e0063dd4466

Aliases

arxiv: 1602.01920 · arxiv_version: 1602.01920v1 · doi: 10.48550/arxiv.1602.01920 · pith_short_12: N5ZJDCYB7KBR · pith_short_16: N5ZJDCYB7KBRBHYX · pith_short_8: N5ZJDCYB

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/N5ZJDCYB7KBRBHYXCVGLOIA52Y \
  | 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: 6f72918b01fa83109f17154cb7201dd63db16e6071bf183ed79b8e0063dd4466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73298f1443153ae50cdfe8b6484f8d791ec521c5484ab1b9740901e72fa4aeb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-02-05T03:48:12Z",
    "title_canon_sha256": "25dc26d5d823a934324b362963c0e3e6ffb563866ab242762a3f17a69a1e0dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01920",
    "kind": "arxiv",
    "version": 1
  }
}