Pith Number

pith:IM3K3YWB

pith:2015:IM3K3YWBEGR6QV4VIMT2LF5FXE

not attested not anchored not stored refs pending

Minimax principle and lower bounds in H$^{2}$-rational approximation

Laurent Baratchart (INRIA Sophia Antipolis), Sylvain Chevillard (INRIA Sophia Antipolis), Tao Qian

arxiv:1501.01161 v2 · 2015-01-06 · 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{IM3K3YWBEGR6QV4VIMT2LF5FXE}

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	2026-05-18T02:20:30.313483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4336ade2c121a3e857954327a597a5b9379152654e46296ae27c47b78e1c7d18

Aliases

arxiv: 1501.01161 · arxiv_version: 1501.01161v2 · doi: 10.48550/arxiv.1501.01161 · pith_short_12: IM3K3YWBEGR6 · pith_short_16: IM3K3YWBEGR6QV4V · pith_short_8: IM3K3YWB

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/IM3K3YWBEGR6QV4VIMT2LF5FXE \
  | 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: 4336ade2c121a3e857954327a597a5b9379152654e46296ae27c47b78e1c7d18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64dfae2da6488ad6ee3d8d4e46a89c7fab3123a2d744d8b07bfee992a16060f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-06T12:35:36Z",
    "title_canon_sha256": "55d899584000ddfb302f9576d36ff504c5306d72dc12d440bbe1c090f3dfc6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01161",
    "kind": "arxiv",
    "version": 2
  }
}