Pith Number

pith:N5PCO6YO

pith:2019:N5PCO6YOYZDSZ3MA4UGG76UTN2

not attested not anchored not stored refs pending

On the ellipticity of operators associated with Morse-Smale diffeomorphisms

A.Yu. Savin, N.R. Izvarina

arxiv:1901.05304 v1 · 2019-01-15 · math.DG · math.AP · 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{N5PCO6YOYZDSZ3MA4UGG76UTN2}

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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	2026-05-17T23:56:11.205038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5e277b0ec6472ced80e50c6ffa936eaaa4f70a45f2b26ac53c653b6e962c48

Aliases

arxiv: 1901.05304 · arxiv_version: 1901.05304v1 · doi: 10.48550/arxiv.1901.05304 · pith_short_12: N5PCO6YOYZDS · pith_short_16: N5PCO6YOYZDSZ3MA · pith_short_8: N5PCO6YO

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/N5PCO6YOYZDSZ3MA4UGG76UTN2 \
  | 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: 6f5e277b0ec6472ced80e50c6ffa936eaaa4f70a45f2b26ac53c653b6e962c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47bd21662981aa94848a8bf83d736751b2b568794458c665761dae1101029b6",
    "cross_cats_sorted": [
      "math.AP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-15T11:05:35Z",
    "title_canon_sha256": "3edc6779d67c4cadfb50d7094eab2c3906e985bddb5f2fa2a732a53e6a8fcdf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05304",
    "kind": "arxiv",
    "version": 1
  }
}