Pith Number

pith:GDQVCP43

pith:2021:GDQVCP43OKXH5J6BGTPT25LLGY

not attested not anchored not stored refs pending

On a family of integral operators on the ball

Wenchuan Tian

arxiv:2110.11913 v1 · 2021-10-18 · math.AP · 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{GDQVCP43OKXH5J6BGTPT25LLGY}

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	2026-07-05T03:24:52.911120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e1513f9b72ae7ea7c134df3d756b3634bc09cad1899a0a3ae471138cb915cf

Aliases

arxiv: 2110.11913 · arxiv_version: 2110.11913v1 · doi: 10.48550/arxiv.2110.11913 · pith_short_12: GDQVCP43OKXH · pith_short_16: GDQVCP43OKXH5J6B · pith_short_8: GDQVCP43

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/GDQVCP43OKXH5J6BGTPT25LLGY \
  | 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: 30e1513f9b72ae7ea7c134df3d756b3634bc09cad1899a0a3ae471138cb915cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5454e831b5f870f2fb817f487cd64813bb9f28a838b3f46a813353621b443e5e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-18T03:07:33Z",
    "title_canon_sha256": "951b3bec92a118411e9a1bf1fa745323e2afdba25397ec70a33b644b31e651d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11913",
    "kind": "arxiv",
    "version": 1
  }
}