Pith Number

pith:JEXNUFPI

pith:2023:JEXNUFPIEQ3BDACNBL252VRBOW

not attested not anchored not stored refs pending

High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term

Jiankang Shi, Jianxiong Cao, Minghua Chen

arxiv:2309.09664 v1 · 2023-09-18 · 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{JEXNUFPIEQ3BDACNBL252VRBOW}

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	2026-07-05T06:51:42.673321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492eda15e8243611804d0af5dd562175af4609da058a402f0eac04f7bce5e7ae

Aliases

arxiv: 2309.09664 · arxiv_version: 2309.09664v1 · doi: 10.48550/arxiv.2309.09664 · pith_short_12: JEXNUFPIEQ3B · pith_short_16: JEXNUFPIEQ3BDACN · pith_short_8: JEXNUFPI

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/JEXNUFPIEQ3BDACNBL252VRBOW \
  | 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: 492eda15e8243611804d0af5dd562175af4609da058a402f0eac04f7bce5e7ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35757250d43293002d3eca1fc1162d1309d00ca1766775e5a1d207d64bcd68a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-09-18T11:02:13Z",
    "title_canon_sha256": "9a7043164f0ec350ab993d2232c7cbc644042742710bf9bc2cffb853e839b719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09664",
    "kind": "arxiv",
    "version": 1
  }
}