Pith Number

pith:3M2GLQRB

pith:2021:3M2GLQRBLTAPX37SYMYZBMEWWH

not attested not anchored not stored refs pending

The Spine of the Fleming-Viot process driven by Brownian motion

J\'anos Engl\"ander, Krzysztof Burdzy

arxiv:2112.01720 v2 · 2021-12-03 · 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{3M2GLQRBLTAPX37SYMYZBMEWWH}

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	2026-07-05T08:12:13.165992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3465c2215cc0fbeff2c33190b096b1c7ab9b406c687ff812ae80487061b643

Aliases

arxiv: 2112.01720 · arxiv_version: 2112.01720v2 · doi: 10.48550/arxiv.2112.01720 · pith_short_12: 3M2GLQRBLTAP · pith_short_16: 3M2GLQRBLTAPX37S · pith_short_8: 3M2GLQRB

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/3M2GLQRBLTAPX37SYMYZBMEWWH \
  | 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: db3465c2215cc0fbeff2c33190b096b1c7ab9b406c687ff812ae80487061b643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3071a6c04213239a059f90f732b419d8bf1e7232cbb7e2563856cef66f10a2f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-12-03T05:20:17Z",
    "title_canon_sha256": "0dbb4705d68b515ce8d53bdbd5fb75256f7af97dc43f24fd4daf841463d6d59a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01720",
    "kind": "arxiv",
    "version": 2
  }
}