Pith Number

pith:RYZA2AUS

pith:2014:RYZA2AUSR2DZLI43S4DKMGO4GJ

not attested not anchored not stored refs pending

Connected graphs cospectral with a Friendship graph

Alireza Abdollahi, Shahrooz Janbaz

arxiv:1401.2315 v1 · 2014-01-10 · 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{RYZA2AUSR2DZLI43S4DKMGO4GJ}

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	2026-05-18T03:02:45.628711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e320d02928e8795a39b9706a619dc324405286b8827af48567b116f213a89df

Aliases

arxiv: 1401.2315 · arxiv_version: 1401.2315v1 · doi: 10.48550/arxiv.1401.2315 · pith_short_12: RYZA2AUSR2DZ · pith_short_16: RYZA2AUSR2DZLI43 · pith_short_8: RYZA2AUS

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/RYZA2AUSR2DZLI43S4DKMGO4GJ \
  | 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: 8e320d02928e8795a39b9706a619dc324405286b8827af48567b116f213a89df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16360005a65ca2415513087d654e2fcbb0db8f618e531223f3171b8039ae473f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-10T12:47:40Z",
    "title_canon_sha256": "b4fa05071f0a60f67ba30f67a14fb8934075ed6a9631dbbf15e18b9a3d48a594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2315",
    "kind": "arxiv",
    "version": 1
  }
}