Pith Number

pith:NRDJUG2X

pith:2019:NRDJUG2X6LUJEE2HVYQKDRDD6C

not attested not anchored not stored refs pending

Random graphs with given vertex degrees and switchings

Svante Janson

arxiv:1901.09744 v2 · 2019-01-28 · 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{NRDJUG2X6LUJEE2HVYQKDRDD6C}

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	2026-05-17T23:55:02.907163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c469a1b57f2e8921347ae20a1c463f097cf87b94068de55ba9d9f16f12b93a1

Aliases

arxiv: 1901.09744 · arxiv_version: 1901.09744v2 · doi: 10.48550/arxiv.1901.09744 · pith_short_12: NRDJUG2X6LUJ · pith_short_16: NRDJUG2X6LUJEE2H · pith_short_8: NRDJUG2X

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/NRDJUG2X6LUJEE2HVYQKDRDD6C \
  | 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: 6c469a1b57f2e8921347ae20a1c463f097cf87b94068de55ba9d9f16f12b93a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f21bb0501d1702dc0f34b543b9c968a33934157dab82d0ec5674efa07ec8b5f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-28T15:41:27Z",
    "title_canon_sha256": "4ad0e3f66361e00a766ae6570da6bafaac30d47745916c3c0bcefce52a8246fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09744",
    "kind": "arxiv",
    "version": 2
  }
}