Pith Number

pith:4V5HXEBA

pith:2013:4V5HXEBAFKOOV7PBQR2YOIN66J

not attested not anchored not stored refs pending

Bishop-Runge approximations and inversion of a Riemann-Klein theorem

Gennadi Henkin, Vincent Michel

arxiv:1311.6164 v1 · 2013-11-24 · 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{4V5HXEBAFKOOV7PBQR2YOIN66J}

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	2026-05-18T03:06:14.731250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57a7b90202a9ceafde184758721bef27498a4c49f9bdaa6946ceabc53fb9ef9

Aliases

arxiv: 1311.6164 · arxiv_version: 1311.6164v1 · doi: 10.48550/arxiv.1311.6164 · pith_short_12: 4V5HXEBAFKOO · pith_short_16: 4V5HXEBAFKOOV7PB · pith_short_8: 4V5HXEBA

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/4V5HXEBAFKOOV7PBQR2YOIN66J \
  | 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: e57a7b90202a9ceafde184758721bef27498a4c49f9bdaa6946ceabc53fb9ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a2db510e22ea7616c51855650451351fe7d98767b140e0daa09b9b369848e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-24T20:14:14Z",
    "title_canon_sha256": "881c88073eea4dfa3fd60d15ad91451ad01406ba165a4f54fba5ecd48f4eef92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6164",
    "kind": "arxiv",
    "version": 1
  }
}