Pith Number

pith:DBLCI7RB

pith:2019:DBLCI7RBD5ZNE6PD52GUQQAS6X

not attested not anchored not stored refs pending

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence

Brendan D. McKay, Mikhail Isaev, Tejas Iyer

arxiv:1908.01309 v2 · 2019-08-04 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBLCI7RBD5ZNE6PD52GUQQAS6X}

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	2026-07-05T00:32:51.037301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1856247e211f72d279e3ee8d484012f5da4479572b0c5c5acc8b3664e9ced06b

Aliases

arxiv: 1908.01309 · arxiv_version: 1908.01309v2 · doi: 10.48550/arxiv.1908.01309 · pith_short_12: DBLCI7RBD5ZN · pith_short_16: DBLCI7RBD5ZNE6PD · pith_short_8: DBLCI7RB

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/DBLCI7RBD5ZNE6PD52GUQQAS6X \
  | 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: 1856247e211f72d279e3ee8d484012f5da4479572b0c5c5acc8b3664e9ced06b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4600446aff2f81c2dda9a472845c79634afaed46ac85db68caab3be8c00c0d56",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-04T10:03:59Z",
    "title_canon_sha256": "17844a079adc4a7cd5c6a612c0571137a904460100c169c52c55440ac3889766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01309",
    "kind": "arxiv",
    "version": 2
  }
}