Pith Number

pith:ZIZQP2ZX

pith:2016:ZIZQP2ZXUCJY6MOR77ZWT6FE3K

not attested not anchored not stored refs pending

Bounding the order of a graph using its diameter and metric dimension: a study through tree decompositions and VC dimension

Aline Parreau, Arnaud Mary, Florent Foucaud, Laurent Beaudou, Michael A. Henning, Peter Dankelmann

arxiv:1610.01475 v2 · 2016-10-05 · 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{ZIZQP2ZXUCJY6MOR77ZWT6FE3K}

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.

Cited by

1 paper in Pith

Sample compression schemes for balls in structurally sparse graphs

Receipt and verification

First computed	2026-05-18T00:10:19.592461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3307eb37a0938f31d1fff369f8a4da9fec6c2d8467456b8781aba74ecc37f8

Aliases

arxiv: 1610.01475 · arxiv_version: 1610.01475v2 · doi: 10.48550/arxiv.1610.01475 · pith_short_12: ZIZQP2ZXUCJY · pith_short_16: ZIZQP2ZXUCJY6MOR · pith_short_8: ZIZQP2ZX

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/ZIZQP2ZXUCJY6MOR77ZWT6FE3K \
  | 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: ca3307eb37a0938f31d1fff369f8a4da9fec6c2d8467456b8781aba74ecc37f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "243f2fac28b0ebfa3453d65309e8fd075fc3c87695b66eee93c6a749e11bdb4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-05T15:13:58Z",
    "title_canon_sha256": "eab1febed73023c5a8c08f9502ed77ae0031aaeaf1aece86c0d54ffd32368bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01475",
    "kind": "arxiv",
    "version": 2
  }
}