Pith Number

pith:KJUA7HLS

pith:2011:KJUA7HLS3XCC2C7FLKENJJQ7X3

not attested not anchored not stored refs pending

On electric resistances for distance-regular graphs

Greg Markowsky, Jack Koolen, Jongyook Park

arxiv:1103.2810 v1 · 2011-03-14 · 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{KJUA7HLS3XCC2C7FLKENJJQ7X3}

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	2026-05-18T04:26:46.472468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52680f9d72ddc42d0be55a88d4a61fbef0dcaf047bcdc28136de8292d68c42ef

Aliases

arxiv: 1103.2810 · arxiv_version: 1103.2810v1 · doi: 10.48550/arxiv.1103.2810 · pith_short_12: KJUA7HLS3XCC · pith_short_16: KJUA7HLS3XCC2C7F · pith_short_8: KJUA7HLS

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/KJUA7HLS3XCC2C7FLKENJJQ7X3 \
  | 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: 52680f9d72ddc42d0be55a88d4a61fbef0dcaf047bcdc28136de8292d68c42ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c4a765165979110599c2fdfdef18d38bdb143a44bcfb1e4dbba62a3efea3c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-14T23:15:33Z",
    "title_canon_sha256": "9fd238d4355048271b3e9beb15732d537eb4dd8c4dd03160b4e72eda48e8ec7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2810",
    "kind": "arxiv",
    "version": 1
  }
}