Pith Number

pith:PBXVDQA7

pith:2012:PBXVDQA73ZTLZYRJ6B4SAGVXMX

not attested not anchored not stored refs pending

Criterions of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schr\"odinger operator in a cone

Guantie Deng, Pinhong Long, Zhiqiang Gao

arxiv:1205.6081 v1 · 2012-05-28 · math.CA · 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{PBXVDQA73ZTLZYRJ6B4SAGVXMX}

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	2026-05-18T03:54:48.380284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786f51c01fde66bce229f079201ab765c132557d4c669befe2855ea33fa16437

Aliases

arxiv: 1205.6081 · arxiv_version: 1205.6081v1 · doi: 10.48550/arxiv.1205.6081 · pith_short_12: PBXVDQA73ZTL · pith_short_16: PBXVDQA73ZTLZYRJ · pith_short_8: PBXVDQA7

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/PBXVDQA73ZTLZYRJ6B4SAGVXMX \
  | 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: 786f51c01fde66bce229f079201ab765c132557d4c669befe2855ea33fa16437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70e7153c70c86354905b45a9270f4e158287842ef159a9a6de890f4aba13f27",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-28T11:35:34Z",
    "title_canon_sha256": "ff483f387dd65a5dfe2fd80eacb196115506edb30a6e8c39558f2e43d9aa9157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6081",
    "kind": "arxiv",
    "version": 1
  }
}