Pith Number

pith:DJTPYX7C

pith:2011:DJTPYX7CJYTYRG5BGWT472BJC2

not attested not anchored not stored refs pending

The Degree Sequence of Random Apollonian Networks

Charalampos E. Tsourakakis

arxiv:1106.1940 v1 · 2011-06-10 · cs.SI · math.PR · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJTPYX7CJYTYRG5BGWT472BJC2}

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	2026-05-18T04:20:13.961448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a66fc5fe24e27889ba135a7cfe82916b11286a17f205a77bf37576afec5d455

Aliases

arxiv: 1106.1940 · arxiv_version: 1106.1940v1 · doi: 10.48550/arxiv.1106.1940 · pith_short_12: DJTPYX7CJYTY · pith_short_16: DJTPYX7CJYTYRG5B · pith_short_8: DJTPYX7C

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/DJTPYX7CJYTYRG5BGWT472BJC2 \
  | 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: 1a66fc5fe24e27889ba135a7cfe82916b11286a17f205a77bf37576afec5d455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a72d0bab27fc1cace32bd2da26f3c0786ce051944e8ccc9dc13e66c6f12900",
    "cross_cats_sorted": [
      "math.PR",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2011-06-10T02:26:28Z",
    "title_canon_sha256": "ab32aa15a13f072028c93e9ddc95e787a639291d07a0ac9dcf48768148d8d662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1940",
    "kind": "arxiv",
    "version": 1
  }
}