Pith Number

pith:P76PJCZY

pith:2026:P76PJCZYH23NFKXZ7GE7INQD3O

not attested not anchored not stored refs pending

The spectral inducibility of graphs

Liying Kang, Xizhi Liu, Yongchun Lu

arxiv:2605.30821 v1 · 2026-05-29 · 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{P76PJCZYH23NFKXZ7GE7INQD3O}

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	2026-06-01T01:03:18.951451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffcf48b383eb6d2aaf9f989f43603dbbf3b1686931ad63348791b8d2a28754b

Aliases

arxiv: 2605.30821 · arxiv_version: 2605.30821v1 · doi: 10.48550/arxiv.2605.30821 · pith_short_12: P76PJCZYH23N · pith_short_16: P76PJCZYH23NFKXZ · pith_short_8: P76PJCZY

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/P76PJCZYH23NFKXZ7GE7INQD3O \
  | 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: 7ffcf48b383eb6d2aaf9f989f43603dbbf3b1686931ad63348791b8d2a28754b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241e05a57e5e1f80d9c173ccfcab585c5263fda0943181141afd3843bea44078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T04:12:48Z",
    "title_canon_sha256": "cc6dd97258339d5e0dad9cb8238ad4bb71c32e74c804b3e1f43d92bd9e4b0fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30821",
    "kind": "arxiv",
    "version": 1
  }
}