Pith Number

pith:R65YJX2D

pith:2019:R65YJX2D4GNKBG2NTELFR7MFIT

not attested not anchored not stored refs pending

Graphon convergence of random cographs

Benedikt Stufler

arxiv:1906.10355 v1 · 2019-06-25 · 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{R65YJX2D4GNKBG2NTELFR7MFIT}

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	2026-05-17T23:42:31.532849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fbb84df43e19aa09b4d991658fd8544e890571c022cc3943cadf933f5a7cc58

Aliases

arxiv: 1906.10355 · arxiv_version: 1906.10355v1 · doi: 10.48550/arxiv.1906.10355 · pith_short_12: R65YJX2D4GNK · pith_short_16: R65YJX2D4GNKBG2N · pith_short_8: R65YJX2D

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/R65YJX2D4GNKBG2NTELFR7MFIT \
  | 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: 8fbb84df43e19aa09b4d991658fd8544e890571c022cc3943cadf933f5a7cc58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ced2088faa9b1009748fac14ba14699538f7c2dab93f9c0ed29269f89bbefc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-25T07:17:46Z",
    "title_canon_sha256": "0a639e177c892f3668e61e754dff0418243fe1cacebf536a694b15db38a097b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10355",
    "kind": "arxiv",
    "version": 1
  }
}