Pith Number

pith:UYZAB4GO

pith:2014:UYZAB4GOQCRUFLWRXWMY5GPPAB

not attested not anchored not stored refs pending

N derivatives are necessary for order N+1 convergence in quadrature: a converse result

Jeffrey Tsang

arxiv:1401.7086 v1 · 2014-01-28 · 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{UYZAB4GOQCRUFLWRXWMY5GPPAB}

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	2026-05-18T03:00:50.902154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63200f0ce80a342aed1bd998e99ef00798d83270444432117e818b7c9bc5f3e

Aliases

arxiv: 1401.7086 · arxiv_version: 1401.7086v1 · doi: 10.48550/arxiv.1401.7086 · pith_short_12: UYZAB4GOQCRU · pith_short_16: UYZAB4GOQCRUFLWR · pith_short_8: UYZAB4GO

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/UYZAB4GOQCRUFLWRXWMY5GPPAB \
  | 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: a63200f0ce80a342aed1bd998e99ef00798d83270444432117e818b7c9bc5f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04a96a37b37af70b391fa2d29a1b0bc63ec1d620b84442eb0df6d2f6172523c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-01-28T05:14:00Z",
    "title_canon_sha256": "b1903212499357debf38061727fd689eb139a3cd2be9c95df1cbae4be8d48b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7086",
    "kind": "arxiv",
    "version": 1
  }
}