Pith Number

pith:VJBHHNXA

pith:2012:VJBHHNXAXT3PRAFFVMZ7MUNI2U

not attested not anchored not stored refs pending

Solutions Constructions of a Generalized Sylvester Problem and a Generalized Fermat-Torricelli Problem for Euclidean Balls

Nguyen Hoang, Nguyen Mau Nam, Nguyen Thai An

arxiv:1210.3142 v1 · 2012-10-11 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJBHHNXAXT3PRAFFVMZ7MUNI2U}

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	2026-05-18T03:43:28.942099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4273b6e0bcf6f880a5ab33f651a8d524f2797f02731a5839dfd0a915428054

Aliases

arxiv: 1210.3142 · arxiv_version: 1210.3142v1 · doi: 10.48550/arxiv.1210.3142 · pith_short_12: VJBHHNXAXT3P · pith_short_16: VJBHHNXAXT3PRAFF · pith_short_8: VJBHHNXA

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/VJBHHNXAXT3PRAFFVMZ7MUNI2U \
  | 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: aa4273b6e0bcf6f880a5ab33f651a8d524f2797f02731a5839dfd0a915428054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2409bfffe0e1bfddd17f6741909756b9fc76beef7deaf0b958ef51b56e6d3189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-11T06:48:47Z",
    "title_canon_sha256": "98d0c07d216dd8369226b23d8f2da54b084254af2d6b1defbfee018d55747639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3142",
    "kind": "arxiv",
    "version": 1
  }
}