Pith Number

pith:HYBJQDYA

pith:2010:HYBJQDYARAK5LPBFNEL72RMDVB

not attested not anchored not stored refs pending

Limits of J-class operators

Bingzhe Hou, Geng Tian

arxiv:1010.3386 v1 · 2010-10-17 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYBJQDYARAK5LPBFNEL72RMDVB}

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	2026-05-18T04:39:09.250399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e02980f008815d5bc256917fd4583a865dd74e5d45f8763f697bdfabb1b0213

Aliases

arxiv: 1010.3386 · arxiv_version: 1010.3386v1 · doi: 10.48550/arxiv.1010.3386 · pith_short_12: HYBJQDYARAK5 · pith_short_16: HYBJQDYARAK5LPBF · pith_short_8: HYBJQDYA

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/HYBJQDYARAK5LPBFNEL72RMDVB \
  | 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: 3e02980f008815d5bc256917fd4583a865dd74e5d45f8763f697bdfabb1b0213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67778f8bc4eacf8c7101c2d3a4305af2fb1da5c05e4ac852be4ea0bca5254156",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-17T00:10:57Z",
    "title_canon_sha256": "41cb8691120247ea680ae41e27c0cb86388d6319be80ac2ec5606f2fadd792cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3386",
    "kind": "arxiv",
    "version": 1
  }
}