Pith Number

pith:ALKZ3KQF

pith:2016:ALKZ3KQF3PJSO2E6GHN7LX7ISL

not attested not anchored not stored refs pending

Topological stability of continuous functions with respect to averaging by measures with locally constant densities

Oksana Marunkevych, Sergiy Maksymenko

arxiv:1601.00151 v1 · 2016-01-02 · math.CA · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALKZ3KQF3PJSO2E6GHN7LX7ISL}

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	2026-05-18T01:23:28.317178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d59daa05dbd327689e31dbf5dfe892eca9ba1c6557df07507f10a5e3918bdf

Aliases

arxiv: 1601.00151 · arxiv_version: 1601.00151v1 · doi: 10.48550/arxiv.1601.00151 · pith_short_12: ALKZ3KQF3PJS · pith_short_16: ALKZ3KQF3PJSO2E6 · pith_short_8: ALKZ3KQF

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/ALKZ3KQF3PJSO2E6GHN7LX7ISL \
  | 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: 02d59daa05dbd327689e31dbf5dfe892eca9ba1c6557df07507f10a5e3918bdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778bad29a73df53767add6a5aff9b0a91adacb86ca0b1b232249435dc5d8f878",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-02T07:36:24Z",
    "title_canon_sha256": "e384fac071f4e3b9ecae553f8575a6f626fa4d8d236085643868b49bd83205a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00151",
    "kind": "arxiv",
    "version": 1
  }
}