Pith Number

pith:U3W4RJDR

pith:2019:U3W4RJDRZUN4UFDKMAO5D7GZ7H

not attested not anchored not stored refs pending

Optimal order finite element approximations for variable-order time-fractional diffusion equations

Fanhai Zeng, Hong Wang, Xiangcheng Zheng

arxiv:1905.05732 v1 · 2019-05-14 · 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{U3W4RJDRZUN4UFDKMAO5D7GZ7H}

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	2026-05-17T23:46:13.704619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6edc8a471cd1bca146a601dd1fcd9f9f0d3bb7df9e0a8d7ecf70022cd28135e

Aliases

arxiv: 1905.05732 · arxiv_version: 1905.05732v1 · doi: 10.48550/arxiv.1905.05732 · pith_short_12: U3W4RJDRZUN4 · pith_short_16: U3W4RJDRZUN4UFDK · pith_short_8: U3W4RJDR

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/U3W4RJDRZUN4UFDKMAO5D7GZ7H \
  | 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: a6edc8a471cd1bca146a601dd1fcd9f9f0d3bb7df9e0a8d7ecf70022cd28135e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1765a9349c2fa84f7fef97db42cd3edfb821afba1682ce055d08de429511c39a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-05-14T17:26:41Z",
    "title_canon_sha256": "1fba495934bfc991b6751873836ad4f2410787cd2a960bd9028fe8a0d3bcbd81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05732",
    "kind": "arxiv",
    "version": 1
  }
}