Pith Number

pith:CPNFA2RH

pith:2017:CPNFA2RHS5J3HSLBVQXEIZZUO2

not attested not anchored not stored refs pending

Runge-Kutta-Gegenbauer explicit methods for advection-diffusion problems

Stephen O'Sullivan

arxiv:1712.03971 v2 · 2017-12-11 · math.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPNFA2RHS5J3HSLBVQXEIZZUO2}

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	2026-05-17T23:48:11.917576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13da506a279753b3c961ac2e446734768201941f0289e346508438aced9542aa

Aliases

arxiv: 1712.03971 · arxiv_version: 1712.03971v2 · doi: 10.48550/arxiv.1712.03971 · pith_short_12: CPNFA2RHS5J3 · pith_short_16: CPNFA2RHS5J3HSLB · pith_short_8: CPNFA2RH

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/CPNFA2RHS5J3HSLBVQXEIZZUO2 \
  | 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: 13da506a279753b3c961ac2e446734768201941f0289e346508438aced9542aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4fd79b43a015d72d93bf4e62bd08cbb58457cc68a8369a242e370e299cc02ec",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-11T19:00:13Z",
    "title_canon_sha256": "2cde26d5c5b41451dd9cae3096df89d92d98a22dba1ce9cb2a853e23200d1a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03971",
    "kind": "arxiv",
    "version": 2
  }
}