Pith Number

pith:6PROG5J3

pith:2019:6PROG5J3GFLKPN4VOPL24KQD3W

not attested not anchored not stored refs pending

Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions

Jean-Fran\c{c}ois Marckert, Luca Lionni

arxiv:1908.02259 v2 · 2019-08-06 · math.PR · hep-th · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PROG5J3GFLKPN4VOPL24KQD3W}

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.

Cited by

1 paper in Pith

Random punctured hyperbolic surfaces & the Brownian sphere

Receipt and verification

First computed	2026-07-05T00:34:16.868956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e2e3753b3156a7b79573d7ae2a03dd89e2ed2e39ebbd5ea594685543e05ad3

Aliases

arxiv: 1908.02259 · arxiv_version: 1908.02259v2 · doi: 10.48550/arxiv.1908.02259 · pith_short_12: 6PROG5J3GFLK · pith_short_16: 6PROG5J3GFLKPN4V · pith_short_8: 6PROG5J3

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/6PROG5J3GFLKPN4VOPL24KQD3W \
  | 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: f3e2e3753b3156a7b79573d7ae2a03dd89e2ed2e39ebbd5ea594685543e05ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec2be0e167c4b43a6e09f03a40f31d0858da0086936e909e02f425ed0589c8b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-06T17:12:59Z",
    "title_canon_sha256": "4d125cd593f6098b7de6f5eb92eaff96c8dd218676392f6cd4856c71ffbecb67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02259",
    "kind": "arxiv",
    "version": 2
  }
}