Pith Number

pith:KTFDSXJV

pith:2020:KTFDSXJVZRNWXAFCDJDTWIW6FC

not attested not anchored not stored refs pending

Graph sequences sampled from Robinson graphons

Jeannette Janssen, Mahya Ghandehari

arxiv:2005.05253 v4 · 2020-05-11 · 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{KTFDSXJVZRNWXAFCDJDTWIW6FC}

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	2026-07-05T08:36:04.956011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ca395d35cc5b6b80a21a473b22de28b6d37084cabe53e60cb80747b40a5604

Aliases

arxiv: 2005.05253 · arxiv_version: 2005.05253v4 · doi: 10.48550/arxiv.2005.05253 · pith_short_12: KTFDSXJVZRNW · pith_short_16: KTFDSXJVZRNWXAFC · pith_short_8: KTFDSXJV

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/KTFDSXJVZRNWXAFCDJDTWIW6FC \
  | 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: 54ca395d35cc5b6b80a21a473b22de28b6d37084cabe53e60cb80747b40a5604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca1a96fcc8d8021e02c262042a6b0232a4602845cf5d565905039e97cc2a6fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-11T16:47:55Z",
    "title_canon_sha256": "4e7764af24a6ffb1b780bccde89a9678c38b7cba32620a96aa33ec2ceb1882a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.05253",
    "kind": "arxiv",
    "version": 4
  }
}