Pith Number

pith:OJGUITSA

pith:2016:OJGUITSA6OVFXCQET6SMI5ACJF

not attested not anchored not stored refs pending

The spectral radius of graphs without trees of diameter at most four

Boyuan Liu, Chenhui Lv, Jun Gao, Shicheng Wang, Xinmin Hou

arxiv:1610.00833 v3 · 2016-10-04 · 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{OJGUITSA6OVFXCQET6SMI5ACJF}

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	2026-05-18T00:09:05.902148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724d444e40f3aa5b8a049fa4c474024949c893d1cf97a4b90402cb2ab509fadc

Aliases

arxiv: 1610.00833 · arxiv_version: 1610.00833v3 · doi: 10.48550/arxiv.1610.00833 · pith_short_12: OJGUITSA6OVF · pith_short_16: OJGUITSA6OVFXCQE · pith_short_8: OJGUITSA

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/OJGUITSA6OVFXCQET6SMI5ACJF \
  | 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: 724d444e40f3aa5b8a049fa4c474024949c893d1cf97a4b90402cb2ab509fadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d511aa556facf82787d330811b1a540cffd4ca4c935849c5663160171d0d8bb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-04T03:18:03Z",
    "title_canon_sha256": "a0062946f82476af9ee9a26657fe17e92e11623e9c48b5226abac844ba03ea1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00833",
    "kind": "arxiv",
    "version": 3
  }
}