Pith Number

pith:4EU5CXRO

pith:2017:4EU5CXROJPFZORQZ6IJINNZ46Q

not attested not anchored not stored refs pending

Division subspaces and integrable kernels

Alexander I. Bufetov, Roman V. Romanov

arxiv:1707.03463 v2 · 2017-07-11 · math.FA · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EU5CXROJPFZORQZ6IJINNZ46Q}

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	2026-05-17T23:58:54.716307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e129d15e2e4bcb974619f21286b73cf42f7f207ed00128ccc432ad3f9abcbe34

Aliases

arxiv: 1707.03463 · arxiv_version: 1707.03463v2 · doi: 10.48550/arxiv.1707.03463 · pith_short_12: 4EU5CXROJPFZ · pith_short_16: 4EU5CXROJPFZORQZ · pith_short_8: 4EU5CXRO

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/4EU5CXROJPFZORQZ6IJINNZ46Q \
  | 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: e129d15e2e4bcb974619f21286b73cf42f7f207ed00128ccc432ad3f9abcbe34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2640835f5ac8aad8eeee3c4ca985a7056efffc5e91a29c7d3d124327f992fb75",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-11T21:11:44Z",
    "title_canon_sha256": "8d1a74ac4185b61374cb907c45fc54a649e97eacc72bb6e499d5c48502353ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03463",
    "kind": "arxiv",
    "version": 2
  }
}