Pith Number

pith:2VQLAKVO

pith:2018:2VQLAKVONEH3IH723ODGJ3ONAN

not attested not anchored not stored refs pending

New Calder\'on Reproducing Formulae with Exponential Decay on Spaces of Homogeneous Type

Dachun Yang, Liguang Liu, Wen Yuan, Ziyi He

arxiv:1803.09924 v2 · 2018-03-27 · math.CA · math.AP · 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{2VQLAKVONEH3IH723ODGJ3ONAN}

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	2026-05-18T00:19:40.889149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d560b02aae690fb41ffadb8664edcd0347cbdb7a4090df702c8d3f2617768323

Aliases

arxiv: 1803.09924 · arxiv_version: 1803.09924v2 · doi: 10.48550/arxiv.1803.09924 · pith_short_12: 2VQLAKVONEH3 · pith_short_16: 2VQLAKVONEH3IH72 · pith_short_8: 2VQLAKVO

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/2VQLAKVONEH3IH723ODGJ3ONAN \
  | 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: d560b02aae690fb41ffadb8664edcd0347cbdb7a4090df702c8d3f2617768323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd12008eddec3fb7e32e3a0cdd5b2ef64facec4a3b77c4f8befd33376966316d",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-27T07:02:00Z",
    "title_canon_sha256": "c3e13a13b232b4956214f9b30054ef13e6f4fc28b2152fa8b63ad7c2a65a65fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09924",
    "kind": "arxiv",
    "version": 2
  }
}