Pith Number

pith:UJKDJSD2

pith:2017:UJKDJSD2WBB36B6A4RPZSF22G4

not attested not anchored not stored refs pending

Gromov-Hausdorff-Prokhorov convergence of vertex cut-trees of n-leaf Galton-Watson trees

Hui He, Matthias Winkel

arxiv:1704.00044 v1 · 2017-03-31 · 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{UJKDJSD2WBB36B6A4RPZSF22G4}

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	2026-05-18T00:47:25.587265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25434c87ab043bf07c0e45f99175a37304768d1c6d954317489cf632b9bd10b

Aliases

arxiv: 1704.00044 · arxiv_version: 1704.00044v1 · doi: 10.48550/arxiv.1704.00044 · pith_short_12: UJKDJSD2WBB3 · pith_short_16: UJKDJSD2WBB36B6A · pith_short_8: UJKDJSD2

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/UJKDJSD2WBB36B6A4RPZSF22G4 \
  | 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: a25434c87ab043bf07c0e45f99175a37304768d1c6d954317489cf632b9bd10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088baf1cf77601bcc8a7f1922cd0a6c38bdd4022e07f91a94b9caf06ed3a791f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-31T20:10:33Z",
    "title_canon_sha256": "3187698577b5886e8ffd0a5546314c9082ada7a23e9c5d5372b44c70117ff4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00044",
    "kind": "arxiv",
    "version": 1
  }
}