Pith Number

pith:WU4ADCXD

pith:2019:WU4ADCXDSDVTNPVKZPRUMJT5L5

not attested not anchored not stored refs pending

Half-graphs, other non-stable degree sequences, and the switch Markov chain

D\'aniel Solt\'esz, Ervin Gy\H{o}ri, Istv\'an Mikl\'os, P\'eter L. Erd\H{o}s, Tam\'as R\'obert Mezei

arxiv:1909.02308 v2 · 2019-09-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WU4ADCXDSDVTNPVKZPRUMJT5L5}

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	2026-07-05T02:54:48.836943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b538018ae390eb36beaacbe346267d5f7e0ae505decd7aaa9920658fc071b54d

Aliases

arxiv: 1909.02308 · arxiv_version: 1909.02308v2 · doi: 10.48550/arxiv.1909.02308 · pith_short_12: WU4ADCXDSDVT · pith_short_16: WU4ADCXDSDVTNPVK · pith_short_8: WU4ADCXD

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/WU4ADCXDSDVTNPVKZPRUMJT5L5 \
  | 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: b538018ae390eb36beaacbe346267d5f7e0ae505decd7aaa9920658fc071b54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b320b7c8a7b17e55f458b2c9294c58c06c2411751c7d9ae0e5f9163252a3a3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-05T10:36:42Z",
    "title_canon_sha256": "f3025a1207681cb764aaad8072254d8c69675c20aaf2bae6d56a072323a1c979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02308",
    "kind": "arxiv",
    "version": 2
  }
}