Pith Number

pith:W3WY4FJ4

pith:2024:W3WY4FJ4EK4PCMFI6UHQQTS36H

not attested not anchored not stored refs pending

Line graphs with the largest eigenvalue multiplicity

Dein Wong, Songnian Xu, Wenhao Zhen

arxiv:2411.14835 v2 · 2024-11-22 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3WY4FJ4EK4PCMFI6UHQQTS36H}

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	2026-07-05T09:52:40.516749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ed8e153c22b8f130a8f50f084e5bf1e7358c16f6b81394fbc4d29be09fc4e8

Aliases

arxiv: 2411.14835 · arxiv_version: 2411.14835v2 · doi: 10.48550/arxiv.2411.14835 · pith_short_12: W3WY4FJ4EK4P · pith_short_16: W3WY4FJ4EK4PCMFI · pith_short_8: W3WY4FJ4

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/W3WY4FJ4EK4PCMFI6UHQQTS36H \
  | 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: b6ed8e153c22b8f130a8f50f084e5bf1e7358c16f6b81394fbc4d29be09fc4e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1cfdc81eef87ae5118247bcc32e499b834f069bdf3913bdedbb9dd343070eed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-11-22T10:17:33Z",
    "title_canon_sha256": "e8b3bd5b3c74c274a2f2264b91d64748a51c34355b9d59180d200c039ecaca53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14835",
    "kind": "arxiv",
    "version": 2
  }
}