Pith Number

pith:PXCDOPRW

pith:2011:PXCDOPRW3VSFBLIMCUYGFDWWFK

not attested not anchored not stored refs pending

Note on the oriented diameter of graphs with diameter 3

Hengzhe Li, Jun Yue, Xueliang Li, Yuefang Sun

arxiv:1109.1056 v2 · 2011-09-06 · 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{PXCDOPRW3VSFBLIMCUYGFDWWFK}

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	2026-05-18T04:12:11.482230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc4373e36dd6450ad0c1530628ed62aa4083752418715ccc349e29cc66382d7

Aliases

arxiv: 1109.1056 · arxiv_version: 1109.1056v2 · doi: 10.48550/arxiv.1109.1056 · pith_short_12: PXCDOPRW3VSF · pith_short_16: PXCDOPRW3VSFBLIM · pith_short_8: PXCDOPRW

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/PXCDOPRW3VSFBLIMCUYGFDWWFK \
  | 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: 7dc4373e36dd6450ad0c1530628ed62aa4083752418715ccc349e29cc66382d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be32a62cb7f6b61222b32331385b0c064b0b231137ca25bf286101f642491247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T04:25:22Z",
    "title_canon_sha256": "912b4b19168eb6d90764aa514b4e04a9e4cca1d4e56314225da56f0d8e3d1faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1056",
    "kind": "arxiv",
    "version": 2
  }
}