Pith Number

pith:ATFMI3BG

pith:2007:ATFMI3BG67A6WHKGAE6M7O2JKF

not attested not anchored not stored refs pending

Weak convergence of measure-valued processes and $r$-point functions

Edwin Perkins, Mark Holmes

arxiv:0710.2998 v1 · 2007-10-16 · 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{ATFMI3BG67A6WHKGAE6M7O2JKF}

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	2026-05-18T04:09:14.085955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cac46c26f7c1eb1d46013ccfbb495174cd729cbcbf4d5f974b27346a98e9ca

Aliases

arxiv: 0710.2998 · arxiv_version: 0710.2998v1 · doi: 10.48550/arxiv.0710.2998 · pith_short_12: ATFMI3BG67A6 · pith_short_16: ATFMI3BG67A6WHKG · pith_short_8: ATFMI3BG

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/ATFMI3BG67A6WHKGAE6M7O2JKF \
  | 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: 04cac46c26f7c1eb1d46013ccfbb495174cd729cbcbf4d5f974b27346a98e9ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987e2958973f29eaa765656c3f86e6a9629c12b514be5cdf36b5580fbd820c65",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-16T09:53:58Z",
    "title_canon_sha256": "742b06ec959ae01fb3ffb8681b24bfc94e95ed203fd74649be08b162ecd3e31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2998",
    "kind": "arxiv",
    "version": 1
  }
}