Pith Number

pith:XZTNW5PJ

pith:2016:XZTNW5PJY72YQLBVOD22QQBHY4

not attested not anchored not stored refs pending

On a collocation method for the time-fractional convection-diffusion equation with variable coefficients

Xiaogang Zhu, Yufeng Nie

arxiv:1604.02112 v2 · 2016-04-06 · 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{XZTNW5PJY72YQLBVOD22QQBHY4}

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	2026-05-18T01:03:59.172852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be66db75e9c7f5882c3570f5a84027c709a3df772c885986c5d20f597cc9520a

Aliases

arxiv: 1604.02112 · arxiv_version: 1604.02112v2 · doi: 10.48550/arxiv.1604.02112 · pith_short_12: XZTNW5PJY72Y · pith_short_16: XZTNW5PJY72YQLBV · pith_short_8: XZTNW5PJ

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/XZTNW5PJY72YQLBVOD22QQBHY4 \
  | 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: be66db75e9c7f5882c3570f5a84027c709a3df772c885986c5d20f597cc9520a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2ec7095a9e1752e999ee1ab801b0a96b5e5da0352feac034b2628ea4449860",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-06T02:23:41Z",
    "title_canon_sha256": "3b6c9a0dda658eeae52b976e34c0d1dc54376dee64d6f6be99eefc4fd96e3900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02112",
    "kind": "arxiv",
    "version": 2
  }
}