Pith Number

pith:FG7KU3YH

pith:2018:FG7KU3YHT5FO4JMRMHDJPUSYRC

not attested not anchored not stored refs pending

On Representations of Graphs as Two-Distance Sets

A. Y. Alfakih

arxiv:1808.05915 v1 · 2018-08-17 · math.MG · 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{FG7KU3YHT5FO4JMRMHDJPUSYRC}

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	2026-05-18T00:07:51.659620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29beaa6f079f4aee259161c697d2588884bbe4e4b92312e42d9b2d7a67995149

Aliases

arxiv: 1808.05915 · arxiv_version: 1808.05915v1 · doi: 10.48550/arxiv.1808.05915 · pith_short_12: FG7KU3YHT5FO · pith_short_16: FG7KU3YHT5FO4JMR · pith_short_8: FG7KU3YH

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/FG7KU3YHT5FO4JMRMHDJPUSYRC \
  | 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: 29beaa6f079f4aee259161c697d2588884bbe4e4b92312e42d9b2d7a67995149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3e64ca1c9f88d8684e04c063dff9fd58a49898357c51f955d48ded2bd35527",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-08-17T16:14:40Z",
    "title_canon_sha256": "6f839e1f0c2eea4466e9d5cb577d515bb05f7e9a669db7dfe4062bd12d7b31d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05915",
    "kind": "arxiv",
    "version": 1
  }
}