Pith Number

pith:XT65WM7O

pith:2013:XT65WM7OMASJQZQ3T7VGKMU244

not attested not anchored not stored refs pending

Graphs cospectral with a friendship graph or its complement

Alireza Abdollahi, Mohammad Reza Oboudi, Shahrooz Janbaz

arxiv:1307.5411 v1 · 2013-07-20 · 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{XT65WM7OMASJQZQ3T7VGKMU244}

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	2026-05-18T03:17:55.868453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfddb33ee602498661b9fea65329ae704f52b052a00e0231db240de885304be

Aliases

arxiv: 1307.5411 · arxiv_version: 1307.5411v1 · doi: 10.48550/arxiv.1307.5411 · pith_short_12: XT65WM7OMASJ · pith_short_16: XT65WM7OMASJQZQ3 · pith_short_8: XT65WM7O

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/XT65WM7OMASJQZQ3T7VGKMU244 \
  | 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: bcfddb33ee602498661b9fea65329ae704f52b052a00e0231db240de885304be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e7d6c1bfea614a31e35b10ee14f6c6bcd23237b1384d1622677bf488fb0f75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-20T12:17:12Z",
    "title_canon_sha256": "bcefeddcea957b5a421f4bc64508ddee795a01b282c20aa7e7c1308f4c980874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5411",
    "kind": "arxiv",
    "version": 1
  }
}