Pith Number

pith:HKDO5VKM

pith:2013:HKDO5VKM6SVCPGDO5LZ6BGWVEP

not attested not anchored not stored refs pending

The distribution of second degrees in the Buckley-Osthus random graph model

Andrey Kupavskii, Dmitriy Shabanov, Liudmila Ostroumova, Prasad Tetali

arxiv:1304.5715 v1 · 2013-04-21 · math.PR · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKDO5VKM6SVCPGDO5LZ6BGWVEP}

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	2026-05-18T00:29:16.057656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a86eed54cf4aa27986eeaf3e09ad523f785e0a1dc689bc70e7c700e08debf3a

Aliases

arxiv: 1304.5715 · arxiv_version: 1304.5715v1 · doi: 10.48550/arxiv.1304.5715 · pith_short_12: HKDO5VKM6SVC · pith_short_16: HKDO5VKM6SVCPGDO · pith_short_8: HKDO5VKM

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/HKDO5VKM6SVCPGDO5LZ6BGWVEP \
  | 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: 3a86eed54cf4aa27986eeaf3e09ad523f785e0a1dc689bc70e7c700e08debf3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59192165122e7421c33e0d040649dec4ba2bb4300ff6c7bd9aea8133ee07917d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-21T09:56:02Z",
    "title_canon_sha256": "d4fd43fca648dcc8212456d3a11e9065c592f4746c94e625116950583084052d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5715",
    "kind": "arxiv",
    "version": 1
  }
}