Pith Number

pith:MO5DQVXG

pith:2015:MO5DQVXGV7SXBC4A5HB6Z6CONL

not attested not anchored not stored refs pending

An invariance principle for branching diffusions in bounded domains

Ellen Powell

arxiv:1512.00031 v5 · 2015-11-30 · 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{MO5DQVXGV7SXBC4A5HB6Z6CONL}

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	2026-05-18T00:17:55.457424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ba3856e6afe5708b80e9c3ecf84e6ade2881549cd282f3f88cafdaab2c8ba9

Aliases

arxiv: 1512.00031 · arxiv_version: 1512.00031v5 · doi: 10.48550/arxiv.1512.00031 · pith_short_12: MO5DQVXGV7SX · pith_short_16: MO5DQVXGV7SXBC4A · pith_short_8: MO5DQVXG

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/MO5DQVXGV7SXBC4A5HB6Z6CONL \
  | 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: 63ba3856e6afe5708b80e9c3ecf84e6ade2881549cd282f3f88cafdaab2c8ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f77cbb8eb7bb10ca3bfba5625026f456c52a75359a9fb268e902ee5b3388aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-30T21:07:39Z",
    "title_canon_sha256": "7ab39ae8213253060b651e82e42e5274f45cf363e865c5b485c3d87a1c2849a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00031",
    "kind": "arxiv",
    "version": 5
  }
}