Pith Number

pith:CTUSYQV6

pith:2012:CTUSYQV6TEO7XE5HBDKPD5TBXW

not attested not anchored not stored refs pending

Fluctuations for the number of records on subtrees of the Continuum Random Tree

Cermics), Patrick Hoscheit (MAPMO

arxiv:1212.5434 v1 · 2012-12-21 · 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{CTUSYQV6TEO7XE5HBDKPD5TBXW}

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	2026-05-18T03:37:54.455412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e92c42be991dfb93a708d4f1f661bda4c773f1692981245a88bd22101061f8

Aliases

arxiv: 1212.5434 · arxiv_version: 1212.5434v1 · doi: 10.48550/arxiv.1212.5434 · pith_short_12: CTUSYQV6TEO7 · pith_short_16: CTUSYQV6TEO7XE5H · pith_short_8: CTUSYQV6

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/CTUSYQV6TEO7XE5HBDKPD5TBXW \
  | 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: 14e92c42be991dfb93a708d4f1f661bda4c773f1692981245a88bd22101061f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c942bedf40e2d134251ba881c2b483836bdbafb79ca802b47b919dd737265be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-21T13:51:21Z",
    "title_canon_sha256": "39277aece8801092e28382f2f199a7a98b48c27194f5e96e1c209d263ee97fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5434",
    "kind": "arxiv",
    "version": 1
  }
}