Pith Number

pith:MSX42K6I

pith:2014:MSX42K6IQIMR5KF423NRW2TYRJ

not attested not anchored not stored refs pending

Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients

Jinchao Xu, Tzanio V. Kolev, Yunrong Zhu

arxiv:1411.7092 v1 · 2014-11-26 · 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{MSX42K6IQIMR5KF423NRW2TYRJ}

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	2026-05-18T02:32:45.382256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64afcd2bc882191ea8bcd6db1b6a788a7f9c463774dc60aabb8c411711d3e1dd

Aliases

arxiv: 1411.7092 · arxiv_version: 1411.7092v1 · doi: 10.48550/arxiv.1411.7092 · pith_short_12: MSX42K6IQIMR · pith_short_16: MSX42K6IQIMR5KF4 · pith_short_8: MSX42K6I

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/MSX42K6IQIMR5KF423NRW2TYRJ \
  | 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: 64afcd2bc882191ea8bcd6db1b6a788a7f9c463774dc60aabb8c411711d3e1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66fd10eafb16f9e741db6c8b2142f022206e01d2a7cbad0813af88019a38dd45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-11-26T02:45:27Z",
    "title_canon_sha256": "5f1cd04380bdaff3b14d610d61da106753b8f304799b15b1460791fd5e91725b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7092",
    "kind": "arxiv",
    "version": 1
  }
}