Pith Number

pith:YGHRX43K

pith:2017:YGHRX43KPYZXTUMLKUMS3L5CTD

not attested not anchored not stored refs pending

On the determination of the grad-div criterion

A. Pakzad, H. Zhao, N. Sahin, V. Decaria, W. Layton, Y. Rong

arxiv:1704.04171 v1 · 2017-04-13 · 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{YGHRX43KPYZXTUMLKUMS3L5CTD}

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	2026-05-18T00:46:24.712488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18f1bf36a7e3379d18b55192dafa298c348d7b944f37e2f897369ae52152e25

Aliases

arxiv: 1704.04171 · arxiv_version: 1704.04171v1 · doi: 10.48550/arxiv.1704.04171 · pith_short_12: YGHRX43KPYZX · pith_short_16: YGHRX43KPYZXTUML · pith_short_8: YGHRX43K

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/YGHRX43KPYZXTUMLKUMS3L5CTD \
  | 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: c18f1bf36a7e3379d18b55192dafa298c348d7b944f37e2f897369ae52152e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae490a03b84f0074ed8ca5a1a14a5ae8e17f1722486b1d0508b7e2c9110c9d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-04-13T15:20:20Z",
    "title_canon_sha256": "05979362d7cc57ead2f4f6eb868c7cd3dd429468a26e3bc067d4c69546c570be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04171",
    "kind": "arxiv",
    "version": 1
  }
}