Pith Number

pith:OCUF3DY7

pith:2015:OCUF3DY774QFEW3T7E5MBAJYV3

not attested not anchored not stored refs pending

Rational approximation and Lagrangian inclusions

Alexandre Sukhov, Rasul Shafikov

arxiv:1504.02083 v2 · 2015-04-08 · math.CV · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCUF3DY774QFEW3T7E5MBAJYV3}

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	2026-05-18T00:58:35.841385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a85d8f1fff20525b73f93ac08138aec75e7bc75335c4bac3c048ba9a4a7d52

Aliases

arxiv: 1504.02083 · arxiv_version: 1504.02083v2 · doi: 10.48550/arxiv.1504.02083 · pith_short_12: OCUF3DY774QF · pith_short_16: OCUF3DY774QFEW3T · pith_short_8: OCUF3DY7

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/OCUF3DY774QFEW3T7E5MBAJYV3 \
  | 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: 70a85d8f1fff20525b73f93ac08138aec75e7bc75335c4bac3c048ba9a4a7d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d509e7af5ee6549674168efa3170b8d859fd94ad604d898cceb506409ac3ac46",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-04-08T19:22:59Z",
    "title_canon_sha256": "456b46f9507334b5d27faccf6b0ece0ff67304dfab3be7f32d8f5559529dcf1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02083",
    "kind": "arxiv",
    "version": 2
  }
}