Pith Number

pith:72FOUXKT

pith:2010:72FOUXKTWXUNSZD6J2VKBAERTD

not attested not anchored not stored refs pending

A posteriori $L^\infty(L^2)$-error bounds in finite element approximation of the wave equation

Charalambos Makridakis, Emmanuil H. Georgoulis, Omar Lakkis

arxiv:1003.3641 v2 · 2010-03-18 · 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{72FOUXKTWXUNSZD6J2VKBAERTD}

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	2026-05-18T00:44:30.654252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8aea5d53b5e8d9647e4eaaa0809198f2515ccc5f767fdc2d79bead5f39ae50

Aliases

arxiv: 1003.3641 · arxiv_version: 1003.3641v2 · doi: 10.48550/arxiv.1003.3641 · pith_short_12: 72FOUXKTWXUN · pith_short_16: 72FOUXKTWXUNSZD6 · pith_short_8: 72FOUXKT

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/72FOUXKTWXUNSZD6J2VKBAERTD \
  | 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: fe8aea5d53b5e8d9647e4eaaa0809198f2515ccc5f767fdc2d79bead5f39ae50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ffb3867cf2588fad0377dd24bd69e2c135c5631639ac6963cdaa0402c9a677",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-03-18T17:36:06Z",
    "title_canon_sha256": "c860adac5824eb1b63eda386244a4a0bf21a2ffd933369b3dae88878eed446d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3641",
    "kind": "arxiv",
    "version": 2
  }
}