Pith Number

pith:W4G4TRP4

pith:2013:W4G4TRP4ZJSFPZ5M74IZISVTLY

not attested not anchored not stored refs pending

Error Bounds for the Numerical Integration of Functions with Limited Smoothness

Kai Diethelm

arxiv:1305.3465 v4 · 2013-05-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4G4TRP4ZJSFPZ5M74IZISVTLY}

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	2026-05-18T01:34:05.797164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70dc9c5fcca6457e7acff11944ab35e3ee3d4b8e5ed089eb94fd4e0ab0574fa

Aliases

arxiv: 1305.3465 · arxiv_version: 1305.3465v4 · doi: 10.48550/arxiv.1305.3465 · pith_short_12: W4G4TRP4ZJSF · pith_short_16: W4G4TRP4ZJSFPZ5M · pith_short_8: W4G4TRP4

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/W4G4TRP4ZJSFPZ5M74IZISVTLY \
  | 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: b70dc9c5fcca6457e7acff11944ab35e3ee3d4b8e5ed089eb94fd4e0ab0574fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96123de0caaae72e96902731033480cdcc9f4955733ecb5aa46661903855986f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-05-15T13:32:58Z",
    "title_canon_sha256": "ac03963cba3d1003357debc48e5c1ff79045eabc19a89bfc67a88f5b255c4ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3465",
    "kind": "arxiv",
    "version": 4
  }
}