Pith Number

pith:WXUQUWOY

pith:2015:WXUQUWOYOXD2Q5FC4WD6KC4MJC

not attested not anchored not stored refs pending

Private Graphon Estimation for Sparse Graphs

Adam Smith, Christian Borgs, Jennifer T. Chayes

arxiv:1506.06162 v1 · 2015-06-19 · math.ST · cs.CR · cs.DS · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXUQUWOYOXD2Q5FC4WD6KC4MJC}

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	2026-05-18T01:41:58.580634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e90a59d875c7a874a2e587e50b8c48a4ed300a7c2310f02fa369589ea19887

Aliases

arxiv: 1506.06162 · arxiv_version: 1506.06162v1 · doi: 10.48550/arxiv.1506.06162 · pith_short_12: WXUQUWOYOXD2 · pith_short_16: WXUQUWOYOXD2Q5FC · pith_short_8: WXUQUWOY

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/WXUQUWOYOXD2Q5FC4WD6KC4MJC \
  | 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: b5e90a59d875c7a874a2e587e50b8c48a4ed300a7c2310f02fa369589ea19887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd18d83e8a7d86604b0cc87852f4ab34668fde201b1d4e8b71aafb05b1ccd5e1",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.DS",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-19T21:29:52Z",
    "title_canon_sha256": "da18f55168cfc8dec4b31334550da833e92af2a3a51ba3c607161f2095ff480c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06162",
    "kind": "arxiv",
    "version": 1
  }
}