Pith Number

pith:VN7MWHMJ

pith:2020:VN7MWHMJSBQZXTRFP7WVFV3EMY

not attested not anchored not stored refs pending

The Steiner $k$-eccentricity on trees

Bo Li, Guihai Yu, Jie Hu, Sandi Klav\v{z}ar, Xingfu Li

arxiv:2008.07763 v1 · 2020-08-18 · 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{VN7MWHMJSBQZXTRFP7WVFV3EMY}

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	2026-07-05T01:27:55.088293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7ecb1d8990619bce257fed52d764660333ba4a6537405571273bd93dcc4621

Aliases

arxiv: 2008.07763 · arxiv_version: 2008.07763v1 · doi: 10.48550/arxiv.2008.07763 · pith_short_12: VN7MWHMJSBQZ · pith_short_16: VN7MWHMJSBQZXTRF · pith_short_8: VN7MWHMJ

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/VN7MWHMJSBQZXTRFP7WVFV3EMY \
  | 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: ab7ecb1d8990619bce257fed52d764660333ba4a6537405571273bd93dcc4621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e718fa95583aa14aaec97ae8983425566698ab8e66247878da8c1f8cd3e401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-18T06:44:04Z",
    "title_canon_sha256": "e2ab1c9418648c9f62ad90a3b7b452db7f0a60973d1a9facf9c6501536461633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.07763",
    "kind": "arxiv",
    "version": 1
  }
}