Pith Number

pith:BJMALOUL

pith:2007:BJMALOUL2Q5EWBKQXKZXHPLBND

not attested not anchored not stored refs pending

On a theorem in multi-parameter potential theory

Ming Yang

arxiv:0707.1845 v1 · 2007-07-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJMALOUL2Q5EWBKQXKZXHPLBND}

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	2026-07-04T15:02:50.704066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a5805ba8bd43a4b0550bab373bd6168e624698bb8656f26b3079523b56f1426

Aliases

arxiv: 0707.1845 · arxiv_version: 0707.1845v1 · doi: 10.48550/arxiv.0707.1845 · pith_short_12: BJMALOUL2Q5E · pith_short_16: BJMALOUL2Q5EWBKQ · pith_short_8: BJMALOUL

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/BJMALOUL2Q5EWBKQXKZXHPLBND \
  | 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: 0a5805ba8bd43a4b0550bab373bd6168e624698bb8656f26b3079523b56f1426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493a7f6a6eff6904a37aa844e8c663253c5b65f385b1a89c62ae859261896f1c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-12T17:56:25Z",
    "title_canon_sha256": "bc219e74f4f27db14bffe5148e69e130fe7fb2f9e8c3d56720d61094fdb6ae32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1845",
    "kind": "arxiv",
    "version": 1
  }
}