Pith Number

pith:Q546L4UE

pith:2016:Q546L4UEDLCR4E56MT5NE5MJPM

not attested not anchored not stored refs pending

Martingales in self-similar growth-fragmentations and their connections with random planar maps

Igor Kortchemski, Jean Bertoin, Nicolas Curien, Timothy Budd

arxiv:1605.00581 v2 · 2016-05-02 · math.PR · math-ph · 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{Q546L4UEDLCR4E56MT5NE5MJPM}

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	2026-05-18T00:28:18.971484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8779e5f2841ac51e13be64fad275897b1675863906e1716aa0593ec51a3f66dc

Aliases

arxiv: 1605.00581 · arxiv_version: 1605.00581v2 · doi: 10.48550/arxiv.1605.00581 · pith_short_12: Q546L4UEDLCR · pith_short_16: Q546L4UEDLCR4E56 · pith_short_8: Q546L4UE

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/Q546L4UEDLCR4E56MT5NE5MJPM \
  | 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: 8779e5f2841ac51e13be64fad275897b1675863906e1716aa0593ec51a3f66dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10921490aec9c85e333e54296a563c3c1d928f644714813c7deb56423040eafe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-02T17:43:28Z",
    "title_canon_sha256": "116dd23eba501ecc49a8de707bcea619d47f42f8a4c17145b236eed46024a6e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00581",
    "kind": "arxiv",
    "version": 2
  }
}