Pith Number

pith:ZDVUYW3T

pith:2017:ZDVUYW3T3WYBDSGTW7ELNURO2W

not attested not anchored not stored refs pending

Asymptotics of the spectral radius for directed Chung-Lu random graphs with community structure

David Burstein

arxiv:1705.10893 v1 · 2017-05-30 · 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{ZDVUYW3T3WYBDSGTW7ELNURO2W}

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	2026-05-18T00:43:19.956195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8eb4c5b73ddb011c8d3b7c8b6d22ed59380abc94da6d75d3a72adaa6aab47be

Aliases

arxiv: 1705.10893 · arxiv_version: 1705.10893v1 · doi: 10.48550/arxiv.1705.10893 · pith_short_12: ZDVUYW3T3WYB · pith_short_16: ZDVUYW3T3WYBDSGT · pith_short_8: ZDVUYW3T

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/ZDVUYW3T3WYBDSGTW7ELNURO2W \
  | 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: c8eb4c5b73ddb011c8d3b7c8b6d22ed59380abc94da6d75d3a72adaa6aab47be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce80b2075bc22fdfddf20e1e42ad7e215203ad836dd8983ffe66c0317df0d0ba",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-30T23:44:38Z",
    "title_canon_sha256": "46ae8c06a8147f53d290b38b47866ded250e094f4cbe65eb0491669640cee8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10893",
    "kind": "arxiv",
    "version": 1
  }
}