Pith Number

pith:LJCELC4J

pith:2016:LJCELC4JLAGZN4EH5SKGEZPEW6

not attested not anchored not stored refs pending

Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in L^p spaces on Lipschitz domains

Alan Mcintosh (MSI), Sylvie Monniaux (I2M)

arxiv:1608.01797 v1 · 2016-08-05 · math.AP · math.CA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJCELC4JLAGZN4EH5SKGEZPEW6}

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	2026-05-18T01:09:44.574173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a44458b89580d96f087ec946265e4b7bc0de67ff5121242d41abc00b9973070

Aliases

arxiv: 1608.01797 · arxiv_version: 1608.01797v1 · doi: 10.48550/arxiv.1608.01797 · pith_short_12: LJCELC4JLAGZ · pith_short_16: LJCELC4JLAGZN4EH · pith_short_8: LJCELC4J

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/LJCELC4JLAGZN4EH5SKGEZPEW6 \
  | 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: 5a44458b89580d96f087ec946265e4b7bc0de67ff5121242d41abc00b9973070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f429c3880ff7331c25e00e924cdb23a9fd63347b57ad3342bdefa1a78bd09d",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-05T08:20:06Z",
    "title_canon_sha256": "55e597b779fcce81173eb142aec0c51a17e9d44698b82adf5b916008f0d49cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01797",
    "kind": "arxiv",
    "version": 1
  }
}