Pith Number

pith:DMOC5BPL

pith:2025:DMOC5BPLHO4GBEMYYPVSJAEC7S

not attested not anchored not stored refs pending

Correction of weighted and shifted seven-step BDF for parabolic equations with nonsmooth data

Fan Yu, Jiankang Shi, Minghua Chen, Zhi Zhou

arxiv:2509.02307 v1 · 2025-09-02 · 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{DMOC5BPLHO4GBEMYYPVSJAEC7S}

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	2026-07-05T12:03:35.976817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b1c2e85eb3bb8609198c3eb248082fcb4462912add12f98109ff44b4cd8445e

Aliases

arxiv: 2509.02307 · arxiv_version: 2509.02307v1 · doi: 10.48550/arxiv.2509.02307 · pith_short_12: DMOC5BPLHO4G · pith_short_16: DMOC5BPLHO4GBEMY · pith_short_8: DMOC5BPL

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/DMOC5BPLHO4GBEMYYPVSJAEC7S \
  | 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: 1b1c2e85eb3bb8609198c3eb248082fcb4462912add12f98109ff44b4cd8445e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced9d5d5325d0552d396ed4456967e75cd00783f5da27e789e0b034b2414d1cf",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-02T13:30:32Z",
    "title_canon_sha256": "7290eaf03cc6099317015514288f1938f6956616e82242795c8233157c2ca244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02307",
    "kind": "arxiv",
    "version": 1
  }
}