Pith Number

pith:TMMTMMKP

pith:2018:TMMTMMKPI3IRDIBBLW2RWUAWMY

not attested not anchored not stored refs pending

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

Fanhai Zeng, Fawang Liu, Zeting Liu

arxiv:1808.09142 v2 · 2018-08-28 · 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{TMMTMMKPI3IRDIBBLW2RWUAWMY}

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	2026-05-18T00:06:45.701630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1936314f46d111a0215db51b5016660a075f0128ad8f5914d30bb1344fc42e

Aliases

arxiv: 1808.09142 · arxiv_version: 1808.09142v2 · doi: 10.48550/arxiv.1808.09142 · pith_short_12: TMMTMMKPI3IR · pith_short_16: TMMTMMKPI3IRDIBB · pith_short_8: TMMTMMKP

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/TMMTMMKPI3IRDIBBLW2RWUAWMY \
  | 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: 9b1936314f46d111a0215db51b5016660a075f0128ad8f5914d30bb1344fc42e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef86450ad97cc1f79eb09b9e220e8b50ba73ee5f51f8163254049ffab39bef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-28T07:11:31Z",
    "title_canon_sha256": "c1d374bbc8305c417811435e15602d57783ce1a818e19f5c9207061d175436f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09142",
    "kind": "arxiv",
    "version": 2
  }
}