Pith Number

pith:URDCHCHD

pith:2007:URDCHCHDJBCSDIEQPIYKZEO2XR

not attested not anchored not stored refs pending

Extremal Graph Theory for Metric Dimension and Diameter

Carlos Seara, Carmen Hernando, David R. Wood, Ignacio M. Pelayo, Merce Mora

arxiv:0705.0938 v1 · 2007-05-07 · 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{URDCHCHDJBCSDIEQPIYKZEO2XR}

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	2026-05-18T03:55:23.850662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4462388e3484521a0907a30ac91dabc5f3b4492676deaac8f7234c3d69071d5

Aliases

arxiv: 0705.0938 · arxiv_version: 0705.0938v1 · doi: 10.48550/arxiv.0705.0938 · pith_short_12: URDCHCHDJBCS · pith_short_16: URDCHCHDJBCSDIEQ · pith_short_8: URDCHCHD

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/URDCHCHDJBCSDIEQPIYKZEO2XR \
  | 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: a4462388e3484521a0907a30ac91dabc5f3b4492676deaac8f7234c3d69071d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42b53cc0639741bb8e7f9ccf99dc20bc8ba94072171444acaf109b2235aa8d0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-05-07T16:16:12Z",
    "title_canon_sha256": "10c5ae7914231360fbee178fd2434fd659b40bc8dcbde43a20d0d7eaa93eff97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0938",
    "kind": "arxiv",
    "version": 1
  }
}