Pith Number

pith:SUUGX2EA

pith:2026:SUUGX2EAS3DQ3TUFYFONQHR6OA

not attested not anchored not stored refs pending

Spectral Properties of Dense Barab\'asi-Albert Graphs

Arman Rysmakhanov, Steven Miller

arxiv:2606.20816 v1 · 2026-06-18 · 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{SUUGX2EAS3DQ3TUFYFONQHR6OA}

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	2026-06-23T00:11:59.632157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95286be88096c70dce85c15cd81e3e701a82dd5c183035791f7cdcbdcc97049f

Aliases

arxiv: 2606.20816 · arxiv_version: 2606.20816v1 · doi: 10.48550/arxiv.2606.20816 · pith_short_12: SUUGX2EAS3DQ · pith_short_16: SUUGX2EAS3DQ3TUF · pith_short_8: SUUGX2EA

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/SUUGX2EAS3DQ3TUFYFONQHR6OA \
  | 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: 95286be88096c70dce85c15cd81e3e701a82dd5c183035791f7cdcbdcc97049f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443d298eb2ef55518b7c9dd94c2d03f7057b62339adc468324ebc0e7fc103374",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-18T18:05:42Z",
    "title_canon_sha256": "ba4c8ad2bfb082444d557c5bdc1982c9f2514df27db27aba7177d6c400b836a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20816",
    "kind": "arxiv",
    "version": 1
  }
}