Pith Number

pith:2XMEMTQ6

pith:2016:2XMEMTQ6IGN274422AXGAGMHAK

not attested not anchored not stored refs pending

Makarov's principle for the Bloch unit ball

Ilgiz Kayumov, Oleg Ivrii

arxiv:1605.00246 v3 · 2016-05-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XMEMTQ6IGN274422AXGAGMHAK}

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	2026-05-18T00:50:31.056793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d8464e1e419baff39ad02e60198702959953dc0b4a63afb47322f70fed7586

Aliases

arxiv: 1605.00246 · arxiv_version: 1605.00246v3 · doi: 10.48550/arxiv.1605.00246 · pith_short_12: 2XMEMTQ6IGN2 · pith_short_16: 2XMEMTQ6IGN27442 · pith_short_8: 2XMEMTQ6

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/2XMEMTQ6IGN274422AXGAGMHAK \
  | 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: d5d8464e1e419baff39ad02e60198702959953dc0b4a63afb47322f70fed7586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e86ed03d727cae60b2d74f02e0675463a412b12237c59c2851661c283df7059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-05-01T13:03:28Z",
    "title_canon_sha256": "cc45a32b0c56c2ef62b70e4d1bf1f7551aa10644d07b5418931e6e52435a826d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00246",
    "kind": "arxiv",
    "version": 3
  }
}