Pith Number

pith:GGIUC27U

pith:2009:GGIUC27UUPXGTFYDA6N22H5YWP

not attested not anchored not stored refs pending

Discrete compactness for the p-version of discrete differential forms

Daniele Boffi, Leszek Demkowicz, Martin Costabel (IRMAR), Monique Dauge (IRMAR), Ralf Hiptmair (SAM)

arxiv:0909.5079 v4 · 2009-09-28 · 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{GGIUC27UUPXGTFYDA6N22H5YWP}

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	2026-06-03T23:06:29.269599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3191416bf4a3ee699703079bad1fb8b3c401d56883ca92400c67b1a6f2fca998

Aliases

arxiv: 0909.5079 · arxiv_version: 0909.5079v4 · doi: 10.48550/arxiv.0909.5079 · pith_short_12: GGIUC27UUPXG · pith_short_16: GGIUC27UUPXGTFYD · pith_short_8: GGIUC27U

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/GGIUC27UUPXGTFYDA6N22H5YWP \
  | 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: 3191416bf4a3ee699703079bad1fb8b3c401d56883ca92400c67b1a6f2fca998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f0c1027fc78942b5fde951bef4d7b826dfb37b1ab618559817020e03b3eb4f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-09-28T12:45:46Z",
    "title_canon_sha256": "316501de53b518ee12de34f4ada58acd6e11cadd1644aa0d68837e505896d708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5079",
    "kind": "arxiv",
    "version": 4
  }
}