Pith Number

pith:7NHNE2E4

pith:2014:7NHNE2E4QOSXCMLTF5R7JF5A2F

not attested not anchored not stored refs pending

Convergence rates of adaptive methods, Besov spaces, and multilevel approximation

Tsogtgerel Gantumur

arxiv:1408.3889 v2 · 2014-08-18 · math.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NHNE2E4QOSXCMLTF5R7JF5A2F}

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	2026-05-18T01:21:19.959133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4ed2689c83a57131732f63f497a0d14fc29ec6ee4f342682a7408564a33a7c

Aliases

arxiv: 1408.3889 · arxiv_version: 1408.3889v2 · doi: 10.48550/arxiv.1408.3889 · pith_short_12: 7NHNE2E4QOSX · pith_short_16: 7NHNE2E4QOSXCMLT · pith_short_8: 7NHNE2E4

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/7NHNE2E4QOSXCMLTF5R7JF5A2F \
  | 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: fb4ed2689c83a57131732f63f497a0d14fc29ec6ee4f342682a7408564a33a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067720d1d03c4a0e49548e779664a9c233bf5fda4daae4ee8b15dceaa1ed9a6e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-08-18T03:02:24Z",
    "title_canon_sha256": "23568910c7235a30b84821fa7520d3689514cc82faec257e915f3b89d3784ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3889",
    "kind": "arxiv",
    "version": 2
  }
}