Pith Number

pith:F2X2TU6I

pith:2013:F2X2TU6IZJ4L7IPFXXVFYN4N7W

not attested not anchored not stored refs pending

Relative index theorem in K-homology

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

arxiv:1307.2833 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{F2X2TU6IZJ4L7IPFXXVFYN4N7W}

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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	2026-05-18T03:18:50.299629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eafa9d3c8ca78bfa1e5bdea5c378dfd99b8d04fd72c032ed22ad43f2c918300

Aliases

arxiv: 1307.2833 · arxiv_version: 1307.2833v1 · doi: 10.48550/arxiv.1307.2833 · pith_short_12: F2X2TU6IZJ4L · pith_short_16: F2X2TU6IZJ4L7IPF · pith_short_8: F2X2TU6I

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/F2X2TU6IZJ4L7IPFXXVFYN4N7W \
  | 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: 2eafa9d3c8ca78bfa1e5bdea5c378dfd99b8d04fd72c032ed22ad43f2c918300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e1d8a9b3ccefbf7e090842b51555199a192f14b877aa7cdb5745d173ceea5b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-07-10T15:55:51Z",
    "title_canon_sha256": "e885af0a0ee53870de6634f05d182cb0a1298610d83bc1d6ad81306389393a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2833",
    "kind": "arxiv",
    "version": 1
  }
}