Pith Number

pith:CVCOUSHE

pith:2016:CVCOUSHE7XDNCAJWPHN2LKVRA3

not attested not anchored not stored refs pending

Fractional and Circular Separation Dimension of Graphs

Douglas B. West, Sarah J. Loeb

arxiv:1609.01612 v1 · 2016-09-06 · 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{CVCOUSHE7XDNCAJWPHN2LKVRA3}

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	2026-05-18T01:05:39.135019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1544ea48e4fdc6d1013679dba5aab106e292de79b3648b05ec4cebe04ae43193

Aliases

arxiv: 1609.01612 · arxiv_version: 1609.01612v1 · doi: 10.48550/arxiv.1609.01612 · pith_short_12: CVCOUSHE7XDN · pith_short_16: CVCOUSHE7XDNCAJW · pith_short_8: CVCOUSHE

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/CVCOUSHE7XDNCAJWPHN2LKVRA3 \
  | 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: 1544ea48e4fdc6d1013679dba5aab106e292de79b3648b05ec4cebe04ae43193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c321f28807e448a7132c6c6b1a05977a56f8774e15fc7a147bb9852b48b7c0a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-06T15:37:25Z",
    "title_canon_sha256": "b1de0d929491fdd91700480b8787112f144624e6933c0c5d3aaa9bfab009ce03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01612",
    "kind": "arxiv",
    "version": 1
  }
}