Pith Number

pith:T2BQ3A5H

pith:2016:T2BQ3A5HITH4VBNJ3T7ZBMUM7R

not attested not anchored not stored refs pending

Adaptive Finite Element Method for fractional differential equations using Hierarchical Matrices

George Em Karniadakis, Wei Cai, Xiaozhe Hu, Xuan Zhao

arxiv:1603.01358 v2 · 2016-03-04 · 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{T2BQ3A5HITH4VBNJ3T7ZBMUM7R}

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	2026-05-18T00:33:23.920083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e830d83a744cfca85a9dcff90b28cfc4b4c0dcdb5a56532677e6e55f534c32f

Aliases

arxiv: 1603.01358 · arxiv_version: 1603.01358v2 · doi: 10.48550/arxiv.1603.01358 · pith_short_12: T2BQ3A5HITH4 · pith_short_16: T2BQ3A5HITH4VBNJ · pith_short_8: T2BQ3A5H

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/T2BQ3A5HITH4VBNJ3T7ZBMUM7R \
  | 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: 9e830d83a744cfca85a9dcff90b28cfc4b4c0dcdb5a56532677e6e55f534c32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a140149dc5d2d608c3bfa4702bf0bcec174202b941714caa2e1bb629bd4f46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-04T06:15:38Z",
    "title_canon_sha256": "a7fd9d0a4a9a3a0f3a81c6eddf1648c88afa120bb0b53e7bd5a4715b2c544ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01358",
    "kind": "arxiv",
    "version": 2
  }
}