Pith Number

pith:CLPGCIOB

pith:2024:CLPGCIOBFGDEDRR6FQBPKVVMTL

not attested not anchored not stored refs pending

Pointwise estimates for the fundamental solutions of higher order Schr\"{o}dinger equations in low odd dimensions

Han Cheng, Quan Zheng, Shanlin Huang, Tianxiao Huang

arxiv:2401.04969 v12 · 2024-01-10 · 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{CLPGCIOBFGDEDRR6FQBPKVVMTL}

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.

Cited by

1 paper in Pith

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$

Receipt and verification

First computed	2026-07-05T11:54:38.616596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12de6121c1298641c63e2c02f556ac9afe18e587de33e01ad7f3a12b7f1a9994

Aliases

arxiv: 2401.04969 · arxiv_version: 2401.04969v12 · doi: 10.48550/arxiv.2401.04969 · pith_short_12: CLPGCIOBFGDE · pith_short_16: CLPGCIOBFGDEDRR6 · pith_short_8: CLPGCIOB

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/CLPGCIOBFGDEDRR6FQBPKVVMTL \
  | 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: 12de6121c1298641c63e2c02f556ac9afe18e587de33e01ad7f3a12b7f1a9994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dc32f872bf78dd6e3c892dc385c6fafb9d6b616f8203ee5b0e9db1f46ec49e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-01-10T07:30:12Z",
    "title_canon_sha256": "02a41b87afbb57eb579f18ca2fa5391729a51f00452656e305505c245e7f7ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04969",
    "kind": "arxiv",
    "version": 12
  }
}