Pith Number

pith:MP45MSOU

pith:2024:MP45MSOUCKTP3YPFPHMEVH7T2L

not attested not anchored not stored refs pending

Fourier integral operators on Hardy spaces with Hormander class

Chunjie Zhang, Xiangrong Zhu, Xiaofeng Ye

arxiv:2406.03076 v1 · 2024-06-05 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MP45MSOUCKTP3YPFPHMEVH7T2L}

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	2026-07-05T08:59:51.479406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f9d649d412a6fde1e579d84a9ff3d2d5fbf129dd6868dbbf2961f95cc9fb75

Aliases

arxiv: 2406.03076 · arxiv_version: 2406.03076v1 · doi: 10.48550/arxiv.2406.03076 · pith_short_12: MP45MSOUCKTP · pith_short_16: MP45MSOUCKTP3YPF · pith_short_8: MP45MSOU

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/MP45MSOUCKTP3YPFPHMEVH7T2L \
  | 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: 63f9d649d412a6fde1e579d84a9ff3d2d5fbf129dd6868dbbf2961f95cc9fb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b739692b55a7a68ecc72c98fb04bde9ebb856eccaea66d148586e1f952bf090",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-06-05T08:59:47Z",
    "title_canon_sha256": "3c8a29bc523ccfc0b71b9691369c56c5eafc83a3bfedb55c78559af4535d5531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03076",
    "kind": "arxiv",
    "version": 1
  }
}