Pith Number

pith:NPSLAXWK

pith:2017:NPSLAXWKENG5VRBJTYZEDKUBN4

not attested not anchored not stored refs pending

First order sentences about random graphs: small number of alternations

Aleksandr Matushkin, Maksim Zhukovskii

arxiv:1701.06517 v3 · 2017-01-23 · 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{NPSLAXWKENG5VRBJTYZEDKUBN4}

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	2026-05-18T00:34:22.930977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be4b05eca234ddac4299e3241aa816f0d4197d0c51ec3b24ca43254f5246f65

Aliases

arxiv: 1701.06517 · arxiv_version: 1701.06517v3 · doi: 10.48550/arxiv.1701.06517 · pith_short_12: NPSLAXWKENG5 · pith_short_16: NPSLAXWKENG5VRBJ · pith_short_8: NPSLAXWK

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/NPSLAXWKENG5VRBJTYZEDKUBN4 \
  | 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: 6be4b05eca234ddac4299e3241aa816f0d4197d0c51ec3b24ca43254f5246f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f9658eeae4b8d8f84912f3dbb35f9cb74a4bdb02b3a67ea8c0e7788163f2ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-23T17:31:29Z",
    "title_canon_sha256": "012cbe394b2a46244f9463984925043bf9dc62205dac1fc4c8cbd89c8ee79ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06517",
    "kind": "arxiv",
    "version": 3
  }
}