Pith Number

pith:M7Z7G6J6

pith:2013:M7Z7G6J667KPOUXSXCJE7HVGFC

not attested not anchored not stored refs pending

A posteriori error control & adaptivity for Crank-Nicolson finite element approximations for the linear Schr\"odinger equation

Irene Kyza, Theodoros Katsaounis

arxiv:1301.4391 v2 · 2013-01-18 · 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{M7Z7G6J667KPOUXSXCJE7HVGFC}

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	2026-05-18T03:28:42.065022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f3f3793ef7d4f752f2b8924f9ea62895df3bef5ca9a934bfec67cd174a29d2

Aliases

arxiv: 1301.4391 · arxiv_version: 1301.4391v2 · doi: 10.48550/arxiv.1301.4391 · pith_short_12: M7Z7G6J667KP · pith_short_16: M7Z7G6J667KPOUXS · pith_short_8: M7Z7G6J6

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/M7Z7G6J667KPOUXSXCJE7HVGFC \
  | 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: 67f3f3793ef7d4f752f2b8924f9ea62895df3bef5ca9a934bfec67cd174a29d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff32c2ac6923433112cd0223e34106382e98b1c77d241f37713f31e97536893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-01-18T14:36:35Z",
    "title_canon_sha256": "b55433ecc2cb30a6ac07d1de0af8ff47948fa4ed58ac7e3deaac3772e68caf33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4391",
    "kind": "arxiv",
    "version": 2
  }
}