Pith Number

pith:5YT2D3VK

pith:2018:5YT2D3VKP4OCIF3MAHPOD2A5PE

not attested not anchored not stored refs pending

Derivative Corrections to the Trapezoidal Rule

Carl R. Brune

arxiv:1808.04743 v1 · 2018-08-14 · 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{5YT2D3VKP4OCIF3MAHPOD2A5PE}

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	2026-05-18T00:08:11.809024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee27a1eeaa7f1c24176c01dee1e81d79351553371b6d12ff7d35d10abae374eb

Aliases

arxiv: 1808.04743 · arxiv_version: 1808.04743v1 · doi: 10.48550/arxiv.1808.04743 · pith_short_12: 5YT2D3VKP4OC · pith_short_16: 5YT2D3VKP4OCIF3M · pith_short_8: 5YT2D3VK

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/5YT2D3VKP4OCIF3MAHPOD2A5PE \
  | 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: ee27a1eeaa7f1c24176c01dee1e81d79351553371b6d12ff7d35d10abae374eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86f38e0cd60f5917fd52f527a3c7aff2f02b3b4bbeca5a771206504b35c5951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-14T15:23:16Z",
    "title_canon_sha256": "ecc3e42263dcc182bc0c8786f026ad3ff6e0a3dc65aef47f7ebcdc8f82baadf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04743",
    "kind": "arxiv",
    "version": 1
  }
}