Pith Number

pith:S3HAS7MO

pith:2017:S3HAS7MOZQMGMVTCDQAWIXAKBD

not attested not anchored not stored refs pending

Core forging and local limit theorems for the k-core of random graphs

Amin Coja-Oghlan, Kathrin Skubch, Mihyun Kang, Oliver Cooley

arxiv:1707.03556 v2 · 2017-07-12 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3HAS7MOZQMGMVTCDQAWIXAKBD}

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	2026-05-18T00:36:13.835165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ce097d8ecc186656621c01645c0a08eafec75559c3ef9e008d52dbaf354f90

Aliases

arxiv: 1707.03556 · arxiv_version: 1707.03556v2 · doi: 10.48550/arxiv.1707.03556 · pith_short_12: S3HAS7MOZQMG · pith_short_16: S3HAS7MOZQMGMVTC · pith_short_8: S3HAS7MO

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/S3HAS7MOZQMGMVTCDQAWIXAKBD \
  | 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: 96ce097d8ecc186656621c01645c0a08eafec75559c3ef9e008d52dbaf354f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc04687179fb0ae2a6537ff907b602bd3fed7a10757b1859cb56362f0877f27a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-12T06:12:25Z",
    "title_canon_sha256": "8690a077f97edd576f0e6536c32b13c775aa093c9654badb05b9426631371019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03556",
    "kind": "arxiv",
    "version": 2
  }
}