Pith Number

pith:I4WN7G7B

pith:2021:I4WN7G7BAB57V6XLXWIPTBU35W

not attested not anchored not stored refs pending

High-order Corrected Trapezoidal Rules for Functions with Fractional Singularities

Senbao Jiang, Xiaofan Li

arxiv:2110.03838 v2 · 2021-10-08 · math.NA · cs.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{I4WN7G7BAB57V6XLXWIPTBU35W}

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	2026-07-05T04:06:45.589195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472cdf9be1007bfafaebbd90f9869bedaed5807097b883745804b18a1de91994

Aliases

arxiv: 2110.03838 · arxiv_version: 2110.03838v2 · doi: 10.48550/arxiv.2110.03838 · pith_short_12: I4WN7G7BAB57 · pith_short_16: I4WN7G7BAB57V6XL · pith_short_8: I4WN7G7B

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/I4WN7G7BAB57V6XLXWIPTBU35W \
  | 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: 472cdf9be1007bfafaebbd90f9869bedaed5807097b883745804b18a1de91994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e0d2a6b216f8f1b10cd67709ab84e126eb08ac250343c2d96b9458348185358",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-10-08T00:47:03Z",
    "title_canon_sha256": "b109609970f2a74f60c985b1a72fcad59edc9f8ee977c34b93280df96d4f1adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03838",
    "kind": "arxiv",
    "version": 2
  }
}