Pith Number

pith:UKEONPTO

pith:2017:UKEONPTOLSNZNDAXRNTYBCKBX4

not attested not anchored not stored refs pending

A note on the localization number of random graphs: diameter two case

Alan Frieze, Andrzej Dudek, Wesley Pegden

arxiv:1712.03311 v3 · 2017-12-08 · 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{UKEONPTOLSNZNDAXRNTYBCKBX4}

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	2026-05-17T23:46:11.263262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a288e6be6e5c9b968c178b67808941bf3af2ad55fa1ce28615b4e3204f2252a9

Aliases

arxiv: 1712.03311 · arxiv_version: 1712.03311v3 · doi: 10.48550/arxiv.1712.03311 · pith_short_12: UKEONPTOLSNZ · pith_short_16: UKEONPTOLSNZNDAX · pith_short_8: UKEONPTO

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/UKEONPTOLSNZNDAXRNTYBCKBX4 \
  | 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: a288e6be6e5c9b968c178b67808941bf3af2ad55fa1ce28615b4e3204f2252a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc41f136212c091a01934f7c028854ef6e770479864a28fa282032f2be3929f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-08T23:09:06Z",
    "title_canon_sha256": "a93fb944f2f87538136c6a71e4128df04f5a35b2639e3669a97fa3887817b7c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03311",
    "kind": "arxiv",
    "version": 3
  }
}