Pith Number

pith:HPK657LK

pith:2018:HPK657LK2JIG2FCB6PMVJC76JI

not attested not anchored not stored refs pending

Notes on Spreads of Degrees in Graphs

Christina Zarb, Josef Lauri, Yair Caro

arxiv:1806.08303 v1 · 2018-06-21 · 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{HPK657LK2JIG2FCB6PMVJC76JI}

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	2026-05-18T00:12:41.433517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd5eefd6ad2506d1441f3d9548bfe4a39dae10bf28a4ba3f7c84aa4a9aa69ca

Aliases

arxiv: 1806.08303 · arxiv_version: 1806.08303v1 · doi: 10.48550/arxiv.1806.08303 · pith_short_12: HPK657LK2JIG · pith_short_16: HPK657LK2JIG2FCB · pith_short_8: HPK657LK

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/HPK657LK2JIG2FCB6PMVJC76JI \
  | 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: 3bd5eefd6ad2506d1441f3d9548bfe4a39dae10bf28a4ba3f7c84aa4a9aa69ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834936603ae4ad7d8e95008e2843132c2803ddf28a53c64b08260c124e88f9af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-21T16:02:24Z",
    "title_canon_sha256": "6729e565defe7e00dc8e309b67dbbe0d0a063a4b993ebe9b3558fdafc42b542e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08303",
    "kind": "arxiv",
    "version": 1
  }
}