Pith Number

pith:XF7DPXIO

pith:2016:XF7DPXIOY5ECG6ULLMSEZVZHFR

not attested not anchored not stored refs pending

Regularity inheritance in pseudorandom graphs

Jozef Skokan, Julia B\"ottcher, Maya Stein, Peter Allen

arxiv:1606.01168 v2 · 2016-06-03 · 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{XF7DPXIOY5ECG6ULLMSEZVZHFR}

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	2026-05-17T23:54:37.065909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97e37dd0ec748237a8b5b244cd7272c70729bb3b51b09d4d8d1b49df8675f9c

Aliases

arxiv: 1606.01168 · arxiv_version: 1606.01168v2 · doi: 10.48550/arxiv.1606.01168 · pith_short_12: XF7DPXIOY5EC · pith_short_16: XF7DPXIOY5ECG6UL · pith_short_8: XF7DPXIO

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/XF7DPXIOY5ECG6ULLMSEZVZHFR \
  | 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: b97e37dd0ec748237a8b5b244cd7272c70729bb3b51b09d4d8d1b49df8675f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f61012ade749471137899e9a122d2066fcfda69ab83862ba420e3a967241879",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-03T16:21:31Z",
    "title_canon_sha256": "cc95ec8040648c235bd074808b70566c136cab854b58f84a902df87c9555c43d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01168",
    "kind": "arxiv",
    "version": 2
  }
}