Pith Number

pith:PJARAEOT

pith:2018:PJARAEOT5IFSSKJ4MY4BPU6K4Y

not attested not anchored not stored refs pending

Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form

Ghulam Mustafa, Rabia Hameed

arxiv:1812.01558 v3 · 2018-12-04 · 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{PJARAEOT5IFSSKJ4MY4BPU6K4Y}

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	2026-05-17T23:55:33.900958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a411011d3ea0b29293c663817d3cae637692a36d79b947a017b3d8581edd531

Aliases

arxiv: 1812.01558 · arxiv_version: 1812.01558v3 · doi: 10.48550/arxiv.1812.01558 · pith_short_12: PJARAEOT5IFS · pith_short_16: PJARAEOT5IFSSKJ4 · pith_short_8: PJARAEOT

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/PJARAEOT5IFSSKJ4MY4BPU6K4Y \
  | 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: 7a411011d3ea0b29293c663817d3cae637692a36d79b947a017b3d8581edd531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef3cbb50fb1dbb4fe61dcf1549663a1d005444635cf070665ba433ed2f6301b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-04T17:55:28Z",
    "title_canon_sha256": "07e70d443b2875c672b03ea6f6134989cfc9d0a4e903d9405678de77944f0fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01558",
    "kind": "arxiv",
    "version": 3
  }
}