Pith Number

pith:VQC76GQQ

pith:2004:VQC76GQQKTFX76URFAUMKN3KPR

not attested not anchored not stored refs pending

Riesz transform and $L^p$ cohomology for manifolds with Euclidean ends

Andrew Hassell, Gilles Carron (LMJL), Thierry Coulhon

arxiv:math/0411648 v1 · 2004-11-30 · math.AP · math.DG · 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{VQC76GQQKTFX76URFAUMKN3KPR}

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	2026-07-04T14:39:25.076326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac05ff1a1054cb7ffa912828c5376a7c67a2103d9932b70272ccd0d0579662de

Aliases

arxiv: math/0411648 · arxiv_version: math/0411648v1 · doi: 10.48550/arxiv.math/0411648 · pith_short_12: VQC76GQQKTFX · pith_short_16: VQC76GQQKTFX76UR · pith_short_8: VQC76GQQ

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/VQC76GQQKTFX76URFAUMKN3KPR \
  | 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: ac05ff1a1054cb7ffa912828c5376a7c67a2103d9932b70272ccd0d0579662de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e4e11eb0cd4647127d433ea42cc3574a6608d6a18ac7e545b1de2a6821f254f",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-11-30T09:28:53Z",
    "title_canon_sha256": "017e9b8fccfd711288e5a14be21147eb572ece55f491bcefbef149cb455cdeab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411648",
    "kind": "arxiv",
    "version": 1
  }
}