Pith Number

pith:ZJTNFRBA

pith:2015:ZJTNFRBAJKVLMVM7EHY6IZ7C5Q

not attested not anchored not stored refs pending

Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations

Daniel Peterseim, Dietmar Gallistl, Donald L. Brown

arxiv:1511.09244 v1 · 2015-11-30 · 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{ZJTNFRBAJKVLMVM7EHY6IZ7C5Q}

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	2026-05-18T01:25:40.731955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca66d2c4204aaab6559f21f1e467e2ec151cf96be0763c3ed84784e0694ffe34

Aliases

arxiv: 1511.09244 · arxiv_version: 1511.09244v1 · doi: 10.48550/arxiv.1511.09244 · pith_short_12: ZJTNFRBAJKVL · pith_short_16: ZJTNFRBAJKVLMVM7 · pith_short_8: ZJTNFRBA

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/ZJTNFRBAJKVLMVM7EHY6IZ7C5Q \
  | 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: ca66d2c4204aaab6559f21f1e467e2ec151cf96be0763c3ed84784e0694ffe34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf4b1be67ea3fca547c0600142d9b0511e82730e3313675f5a2f89365c100ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-30T11:23:02Z",
    "title_canon_sha256": "5e52daa00bc9b7b073348748af35314f3f1017ca42f5f2d18fa5c903a4b1674e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09244",
    "kind": "arxiv",
    "version": 1
  }
}