Pith Number

pith:Y4EM2TKT

pith:2019:Y4EM2TKTUNZJMPOO6U2I3EMCW7

not attested not anchored not stored refs pending

Rerooting multi-type branching trees: the infinite spine case

Benedikt Stufler

arxiv:1908.04843 v2 · 2019-08-13 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4EM2TKTUNZJMPOO6U2I3EMCW7}

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	2026-07-05T02:17:18.380847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c708cd4d53a372963dcef5348d9182b7c7a66abda24ab298371b08b295899471

Aliases

arxiv: 1908.04843 · arxiv_version: 1908.04843v2 · doi: 10.48550/arxiv.1908.04843 · pith_short_12: Y4EM2TKTUNZJ · pith_short_16: Y4EM2TKTUNZJMPOO · pith_short_8: Y4EM2TKT

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/Y4EM2TKTUNZJMPOO6U2I3EMCW7 \
  | 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: c708cd4d53a372963dcef5348d9182b7c7a66abda24ab298371b08b295899471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9feaedac4213d1cb0c2d7296d4a6edd18ce29a43932941790aa51ba184a7f7fc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-13T19:54:22Z",
    "title_canon_sha256": "253b416ab690033ec507e52ea9e542aab3b3b43c20e5ded73e57ba1da30efc48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04843",
    "kind": "arxiv",
    "version": 2
  }
}