Pith Number

pith:IDUZDKRM

pith:2014:IDUZDKRMO5RUVBEOESE52AMPJ4

not attested not anchored not stored refs pending

Properties of stochastic Kronecker graphs

Christoph Koch, Micha{\l} Karo\'nski, Mihyun Kang, Tam\'as Makai

arxiv:1410.6328 v2 · 2014-10-23 · 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{IDUZDKRMO5RUVBEOESE52AMPJ4}

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	2026-05-18T02:28:05.041079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e991aa2c77634a848e2489dd018f4f28a7b6a6d4b98dbc834c57c4c1435708

Aliases

arxiv: 1410.6328 · arxiv_version: 1410.6328v2 · doi: 10.48550/arxiv.1410.6328 · pith_short_12: IDUZDKRMO5RU · pith_short_16: IDUZDKRMO5RUVBEO · pith_short_8: IDUZDKRM

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/IDUZDKRMO5RUVBEOESE52AMPJ4 \
  | 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: 40e991aa2c77634a848e2489dd018f4f28a7b6a6d4b98dbc834c57c4c1435708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5684ead25dc877066880acec52e389d2ead2fcb7e63b30917913671fef7ae9d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-23T11:43:19Z",
    "title_canon_sha256": "3d8fc2cdc6775b649b3055a467d79d245c153d5557ddb728f7eb810299093344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6328",
    "kind": "arxiv",
    "version": 2
  }
}