Pith Number

pith:LEPMXYE3

pith:2015:LEPMXYE3WHG2RCMV4SAF4KIYDR

not attested not anchored not stored refs pending

Weak convergence of regular Dirichlet subspaces

Jiangang Ying, Liping Li, Toshihiro Uemura

arxiv:1509.01773 v1 · 2015-09-06 · 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{LEPMXYE3WHG2RCMV4SAF4KIYDR}

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	2026-05-18T01:33:50.622352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591ecbe09bb1cda88995e4805e29181c59402e6296aa3503d803ce6897d1ef10

Aliases

arxiv: 1509.01773 · arxiv_version: 1509.01773v1 · doi: 10.48550/arxiv.1509.01773 · pith_short_12: LEPMXYE3WHG2 · pith_short_16: LEPMXYE3WHG2RCMV · pith_short_8: LEPMXYE3

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/LEPMXYE3WHG2RCMV4SAF4KIYDR \
  | 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: 591ecbe09bb1cda88995e4805e29181c59402e6296aa3503d803ce6897d1ef10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c218bf6d369ef8007d39948f193d5050f7a167c0c66b6cd1bee6efb9c5c45f3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-06T06:33:22Z",
    "title_canon_sha256": "7feeb84170d78864e5f92d72d31a7448eed904e0776dee3ba211d4054ef2a2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01773",
    "kind": "arxiv",
    "version": 1
  }
}