Pith Number

pith:JGGXMSG6

pith:2023:JGGXMSG6VT5OXCPQS2NOHF6QBR

not attested not anchored not stored refs pending

Extending Elman's Bound for GMRES

Mark Embree

arxiv:2312.15022 v2 · 2023-12-22 · math.NA · cs.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{JGGXMSG6VT5OXCPQS2NOHF6QBR}

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.

Cited by

1 paper in Pith

Convergence analysis of GMRES applied to Helmholtz problems near resonances

Receipt and verification

First computed	2026-07-05T10:18:07.302965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

498d7648deacfaeb89f0969ae397d00c6fdcab1191fae15b289f04e492716e6c

Aliases

arxiv: 2312.15022 · arxiv_version: 2312.15022v2 · doi: 10.48550/arxiv.2312.15022 · pith_short_12: JGGXMSG6VT5O · pith_short_16: JGGXMSG6VT5OXCPQ · pith_short_8: JGGXMSG6

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/JGGXMSG6VT5OXCPQS2NOHF6QBR \
  | 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: 498d7648deacfaeb89f0969ae397d00c6fdcab1191fae15b289f04e492716e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff670fc24c5e84e00e8da26ad912c4afd9d9f8d527057f31371dcd28ba7faeec",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-12-22T19:08:25Z",
    "title_canon_sha256": "8daed66356769a35ad2ffc1ee03e81a0cb5804cedb38c11c9b1fad583372bd28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15022",
    "kind": "arxiv",
    "version": 2
  }
}