Pith Number

pith:3TURKFTX

pith:2018:3TURKFTXW75WKNJ5C6RORAU26E

not attested not anchored not stored refs pending

Efficient multistep methods for tempered fractional calculus: Algorithms and Simulations

Fanhai Zeng, George Em Karniadakis, Ian Turner, Kevin Burrage, Ling Guo

arxiv:1812.00676 v2 · 2018-12-03 · 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{3TURKFTXW75WKNJ5C6RORAU26E}

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	2026-05-17T23:58:47.114671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce9151677b7fb65353d17a2e8829af135be9175084c47f38762c2148460e154

Aliases

arxiv: 1812.00676 · arxiv_version: 1812.00676v2 · doi: 10.48550/arxiv.1812.00676 · pith_short_12: 3TURKFTXW75W · pith_short_16: 3TURKFTXW75WKNJ5 · pith_short_8: 3TURKFTX

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/3TURKFTXW75WKNJ5C6RORAU26E \
  | 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: dce9151677b7fb65353d17a2e8829af135be9175084c47f38762c2148460e154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01758b998bfa0f1b663d677d8438fb2b59d99867f65a49781d2208a5fe05205",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-03T11:32:39Z",
    "title_canon_sha256": "0a8e60d0ad2007a491694d1cb3f260a22b0e2b9a972e80f7f4145c193a2658a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00676",
    "kind": "arxiv",
    "version": 2
  }
}