Pith Number

pith:76GDA5GC

pith:2014:76GDA5GCDC2QB24JEL4RQBTXYJ

not attested not anchored not stored refs pending

Robust exponential convergence of $hp$-FEM in balanced norms for singularly perturbed reaction-diffusion equations

Christos Xenophontos, Jens Markus Melenk

arxiv:1408.3328 v2 · 2014-08-14 · 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{76GDA5GCDC2QB24JEL4RQBTXYJ}

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	2026-05-18T01:13:31.153390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8c3074c218b500eb8922f9180677c27eb2da6a5a1dec86a41b1a28ac39d356

Aliases

arxiv: 1408.3328 · arxiv_version: 1408.3328v2 · doi: 10.48550/arxiv.1408.3328 · pith_short_12: 76GDA5GCDC2Q · pith_short_16: 76GDA5GCDC2QB24J · pith_short_8: 76GDA5GC

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/76GDA5GCDC2QB24JEL4RQBTXYJ \
  | 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: ff8c3074c218b500eb8922f9180677c27eb2da6a5a1dec86a41b1a28ac39d356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f408d81296d16a29b0fbc1fe4abdeffbcef7ad61bab8ecfe00e00cb7f3b4f58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-08-14T16:14:48Z",
    "title_canon_sha256": "d064603b5adce50a83b4f847271c5f7e9d8bf72f2d1c90b8dfbbb462ebcb1084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3328",
    "kind": "arxiv",
    "version": 2
  }
}