Pith Number

pith:C2YIWQX7

pith:2018:C2YIWQX7QC3ZEGJUURKMNYOKXA

not attested not anchored not stored refs pending

Graph limits of random unlabelled $k$-trees

Benedikt Stufler, Emma Yu Jin

arxiv:1801.10097 v1 · 2018-01-30 · math.CO · 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{C2YIWQX7QC3ZEGJUURKMNYOKXA}

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	2026-05-18T00:24:45.903665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b08b42ff80b7921934a454c6e1cab812b848467c3621cd285b2da0e0881b22

Aliases

arxiv: 1801.10097 · arxiv_version: 1801.10097v1 · doi: 10.48550/arxiv.1801.10097 · pith_short_12: C2YIWQX7QC3Z · pith_short_16: C2YIWQX7QC3ZEGJU · pith_short_8: C2YIWQX7

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/C2YIWQX7QC3ZEGJUURKMNYOKXA \
  | 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: 16b08b42ff80b7921934a454c6e1cab812b848467c3621cd285b2da0e0881b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c53dfaebdeab52d709157b9a8e64593daa15d01aba4716c032c7694b42ff33d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-30T17:03:31Z",
    "title_canon_sha256": "4154a87e38be0a501958b5baf74e44af9f9118226e6dab68bef15b1f3e232dd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10097",
    "kind": "arxiv",
    "version": 1
  }
}