Pith Number

pith:CLEA25IA

pith:2016:CLEA25IAJD6QY3VN2F2NSDWOFI

not attested not anchored not stored refs pending

On nodes of small degrees and degree profile in preferential dynamic attachment circuits

Hosam Mahmoud, Panpan Zhang

arxiv:1610.04675 v3 · 2016-10-15 · 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{CLEA25IAJD6QY3VN2F2NSDWOFI}

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	2026-05-18T00:22:16.373828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c80d750048fd0c6eadd174d90ece2a3922d3b6d65320e0b029f72fbad5cf6f

Aliases

arxiv: 1610.04675 · arxiv_version: 1610.04675v3 · doi: 10.48550/arxiv.1610.04675 · pith_short_12: CLEA25IAJD6Q · pith_short_16: CLEA25IAJD6QY3VN · pith_short_8: CLEA25IA

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/CLEA25IAJD6QY3VN2F2NSDWOFI \
  | 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: 12c80d750048fd0c6eadd174d90ece2a3922d3b6d65320e0b029f72fbad5cf6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cda328117d36dea27a93f9527c86869fca3ea181363370e8284285c013c624b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-15T00:32:40Z",
    "title_canon_sha256": "03073ccce55f8a64a66e8ec2cd4ec9b7f178f37ffba48fd48a44acf8c7c642ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04675",
    "kind": "arxiv",
    "version": 3
  }
}