Pith Number

pith:6VPYHIM7

pith:2008:6VPYHIM73QHMHYWEK3MVAJC2PJ

not attested not anchored not stored refs pending

On Bogovski\u{\i} and regularized Poincar\'e integral operators for de Rham complexes on Lipschitz domains

Alan Mcintosh (CMA), Martin Costabel (IRMAR)

arxiv:0808.2614 v2 · 2008-08-19 · math.AP · cs.NA · 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{6VPYHIM73QHMHYWEK3MVAJC2PJ}

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	2026-06-03T22:06:09.117263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55f83a19fdc0ec3e2c456d950245a7a5a1deb82cd63e5e00afe1d0b2db8f48a

Aliases

arxiv: 0808.2614 · arxiv_version: 0808.2614v2 · doi: 10.48550/arxiv.0808.2614 · pith_short_12: 6VPYHIM73QHM · pith_short_16: 6VPYHIM73QHMHYWE · pith_short_8: 6VPYHIM7

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/6VPYHIM73QHMHYWEK3MVAJC2PJ \
  | 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: f55f83a19fdc0ec3e2c456d950245a7a5a1deb82cd63e5e00afe1d0b2db8f48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a1cf977c733ac50ff09f014c0d25d4f30509bfb93479331aaf53831d110af0a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-08-19T15:12:28Z",
    "title_canon_sha256": "6087238a86d8f45253b18b7485ce60e1ac4853cc3bbab112d46c06b0ffe29f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2614",
    "kind": "arxiv",
    "version": 2
  }
}