Pith Number

pith:CTOXFYVK

pith:2020:CTOXFYVKG7PRUEQTJS2LDAIAAW

not attested not anchored not stored refs pending

Connectedness matters: Construction and exact random sampling of connected graphs

Carl D. Modes, Szabolcs Horv\'at

arxiv:2009.03747 v2 · 2020-09-08 · physics.soc-ph · cs.DM · 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{CTOXFYVKG7PRUEQTJS2LDAIAAW}

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	2026-07-05T01:56:31.481620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14dd72e2aa37df1a12134cb4b18100059d47a35169c0c6116e0517251e2e3631

Aliases

arxiv: 2009.03747 · arxiv_version: 2009.03747v2 · doi: 10.48550/arxiv.2009.03747 · pith_short_12: CTOXFYVKG7PR · pith_short_16: CTOXFYVKG7PRUEQT · pith_short_8: CTOXFYVK

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/CTOXFYVKG7PRUEQTJS2LDAIAAW \
  | 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: 14dd72e2aa37df1a12134cb4b18100059d47a35169c0c6116e0517251e2e3631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a78eccbbcebd9181615c0b25e6351fe9d12b6f18bc8a26013534c6ba65b6436",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2020-09-08T13:37:47Z",
    "title_canon_sha256": "b6f0e4bcdeb594b44f7a0c53d08e51fb4491405f264cd3853122e5c84bc41173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03747",
    "kind": "arxiv",
    "version": 2
  }
}