Pith Number

pith:BQDJ3VVQ

pith:2014:BQDJ3VVQ5XT7EU4WTTKFU3FIRC

not attested not anchored not stored refs pending

Conical square function estimates and functional calculi for perturbed Hodge-Dirac operators in L^p

Alan McIntosh, Dorothee Frey, Pierre Portal

arxiv:1407.4774 v3 · 2014-07-17 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQDJ3VVQ5XT7EU4WTTKFU3FIRC}

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	2026-05-18T02:25:49.117808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c069dd6b0ede7f253969cd45a6ca888af6ebcae8414861fa33f571403c6bbaf

Aliases

arxiv: 1407.4774 · arxiv_version: 1407.4774v3 · doi: 10.48550/arxiv.1407.4774 · pith_short_12: BQDJ3VVQ5XT7 · pith_short_16: BQDJ3VVQ5XT7EU4W · pith_short_8: BQDJ3VVQ

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/BQDJ3VVQ5XT7EU4WTTKFU3FIRC \
  | 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: 0c069dd6b0ede7f253969cd45a6ca888af6ebcae8414861fa33f571403c6bbaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f9c65d23f156b63e6828220b7953df2fe5aec7206e9e17bfc7d5033918ca5b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-17T18:57:08Z",
    "title_canon_sha256": "024c02e58df13e4bfe1c98fc9893fba73aca18d8edced7575c86a4c06aeece9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4774",
    "kind": "arxiv",
    "version": 3
  }
}