Pith Number

pith:WZ7SUHID

pith:2015:WZ7SUHIDKG2CCDSAD3ITQZD2GO

not attested not anchored not stored refs pending

Skorokhod's M1 topology for distribution-valued processes

Sean Ledger

arxiv:1509.02855 v3 · 2015-09-09 · 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{WZ7SUHIDKG2CCDSAD3ITQZD2GO}

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	2026-05-18T00:59:59.057774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67f2a1d0351b4210e401ed138647a339a43984410e802eeaee3739b12cde53f

Aliases

arxiv: 1509.02855 · arxiv_version: 1509.02855v3 · doi: 10.48550/arxiv.1509.02855 · pith_short_12: WZ7SUHIDKG2C · pith_short_16: WZ7SUHIDKG2CCDSA · pith_short_8: WZ7SUHID

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/WZ7SUHIDKG2CCDSAD3ITQZD2GO \
  | 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: b67f2a1d0351b4210e401ed138647a339a43984410e802eeaee3739b12cde53f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fdde344d2d1359a5de8714706bcf99bda0fc8e5f0cedc50108ea8267206a18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-09T17:18:18Z",
    "title_canon_sha256": "16dd8eb9447418a5f72f97b630219f7807ebb141e7d6ae2a2ee93188739ff980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02855",
    "kind": "arxiv",
    "version": 3
  }
}