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Pith Number

pith:4RIAAT7V

pith:2007:4RIAAT7VFDSNCCWSURF7P7EHYR
not attested not anchored not stored refs pending

Covering a line segment with variable radius discs

Alessandro Agnetis, Andrea Pacifici, Enrico Grande, Pitu B. Mirchandani

arxiv:0707.2921 v1 · 2007-07-19 · cs.DM · cs.NA · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4RIAAT7VFDSNCCWSURF7P7EHYR}

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 2026-06-03T22:06:01.604580Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e450004ff528e4d10ad2a44bf7fc87c442c249d2d4f629b908feeebbb4a1dad4

Aliases

arxiv: 0707.2921 · arxiv_version: 0707.2921v1 · doi: 10.48550/arxiv.0707.2921 · pith_short_12: 4RIAAT7VFDSN · pith_short_16: 4RIAAT7VFDSNCCWS · pith_short_8: 4RIAAT7V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4RIAAT7VFDSNCCWSURF7P7EHYR \
  | 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: e450004ff528e4d10ad2a44bf7fc87c442c249d2d4f629b908feeebbb4a1dad4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "819313c4fad2cbe0d3e77f92385578222d8c602ede042efdf2cd145b36e53979",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-07-19T14:59:47Z",
    "title_canon_sha256": "9d76733f58f93110e82053c3ca477f708c64601493667c30fe41f170ca345f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2921",
    "kind": "arxiv",
    "version": 1
  }
}