Pith Number

pith:BJCIN4CX

pith:2013:BJCIN4CXUYTHP5ORGJYRSB3EQS

not attested not anchored not stored refs pending

On a KK-theoretic counterpart of relative index theorems

Dolgoprudny, Moscow, Moscow District, Moscow Institute of Physics, Russia, Russia), Technology, V. E. Nazaikinskii (A. Ishlinsky Institute for Problems in Mechanics

arxiv:1307.2770 v1 · 2013-07-10 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJCIN4CXUYTHP5ORGJYRSB3EQS}

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	2026-05-18T03:18:50.488310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4486f057a62677f5d1327119076484b9b1797c4587047501d887e83e9b061a

Aliases

arxiv: 1307.2770 · arxiv_version: 1307.2770v1 · doi: 10.48550/arxiv.1307.2770 · pith_short_12: BJCIN4CXUYTH · pith_short_16: BJCIN4CXUYTHP5OR · pith_short_8: BJCIN4CX

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/BJCIN4CXUYTHP5ORGJYRSB3EQS \
  | 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: 0a4486f057a62677f5d1327119076484b9b1797c4587047501d887e83e9b061a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8514d0ac2f24007d06d3f19c101afdc47c42027dcae67814289ca218a36f7e8c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-07-10T12:24:46Z",
    "title_canon_sha256": "d18a34983b41433c3572198eef354d79349d2bb4b9b8bb10aae6ec475e96a651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2770",
    "kind": "arxiv",
    "version": 1
  }
}